Question Solve for $d$ in the equation $30-\frac{d}{3}=18$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $30-\frac{d}{3}=18$ .
2. We need to solve for the variable $d$ .

STEP 2

First, we want to isolate the term containing the variable $d$ on one side of the equation. To do this, we can start by subtracting 30 from both sides of the equation.
$30 - \frac{d}{3} - 30 = 18 - 30$

STEP 3

Perform the subtraction on both sides of the equation.
$-\frac{d}{3} = -12$

STEP 4

Now, to solve for $d$ , we need to get rid of the fraction. We can do this by multiplying both sides of the equation by 3, which is the denominator of the fraction.
$3 \times \left(-\frac{d}{3}\right) = -12 \times 3$

STEP 5

Perform the multiplication on both sides of the equation.
$-d = -36$

STEP 6

We have $-d = -36$ , but we want to solve for $d$ . Since $-d$ is the same as $-1 \times d$ , we can divide both sides of the equation by $-1$ to get $d$ by itself.
$\frac{-d}{-1} = \frac{-36}{-1}$

STEP 7

Perform the division on both sides of the equation.
$d = 36$
The solution to the equation $30-\frac{d}{3}=18$ is $d = 36$ .

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Question Solve for $d$ in the equation $30-\frac{d}{3}=18$ .

Studdy Solution

STEP 1

Assumptions
1. We are given the equation $30-\frac{d}{3}=18$ .
2. We need to solve for the variable $d$ .

STEP 2

First, we want to isolate the term containing the variable $d$ on one side of the equation. To do this, we can start by subtracting 30 from both sides of the equation.
$30 - \frac{d}{3} - 30 = 18 - 30$

STEP 3

Perform the subtraction on both sides of the equation.
$-\frac{d}{3} = -12$

STEP 4

Now, to solve for $d$ , we need to get rid of the fraction. We can do this by multiplying both sides of the equation by 3, which is the denominator of the fraction.
$3 \times \left(-\frac{d}{3}\right) = -12 \times 3$

STEP 5

Perform the multiplication on both sides of the equation.
$-d = -36$

STEP 6

We have $-d = -36$ , but we want to solve for $d$ . Since $-d$ is the same as $-1 \times d$ , we can divide both sides of the equation by $-1$ to get $d$ by itself.
$\frac{-d}{-1} = \frac{-36}{-1}$

STEP 7

Perform the division on both sides of the equation.
$d = 36$
The solution to the equation $30-\frac{d}{3}=18$ is $d = 36$ .

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Question Solve for ddd in the equation 30−d3=1830-\frac{d}{3}=1830−3d​=18.

Studdy Solution

STEP 1

Assumptions1. We are given the equation 30−d3=1830-\frac{d}{3}=1830−3d​=18.2. We need to solve for the variable ddd.

STEP 2

First, we want to isolate the term containing the variable ddd on one side of the equation. To do this, we can start by subtracting 30 from both sides of the equation.30−d3−30=18−3030 - \frac{d}{3} - 30 = 18 - 3030−3d​−30=18−30

STEP 3

Perform the subtraction on both sides of the equation.−d3=−12-\frac{d}{3} = -12−3d​=−12

STEP 4

Now, to solve for ddd, we need to get rid of the fraction. We can do this by multiplying both sides of the equation by 3, which is the denominator of the fraction.3×(−d3)=−12×33 \times \left(-\frac{d}{3}\right) = -12 \times 33×(−3d​)=−12×3

STEP 5

Perform the multiplication on both sides of the equation.−d=−36-d = -36−d=−36

STEP 6

We have −d=−36-d = -36−d=−36, but we want to solve for ddd. Since −d-d−d is the same as −1×d-1 \times d−1×d, we can divide both sides of the equation by −1-1−1 to get ddd by itself.−d−1=−36−1\frac{-d}{-1} = \frac{-36}{-1}−1−d​=−1−36​

STEP 7

Perform the division on both sides of the equation.d=36d = 36d=36The solution to the equation 30−d3=1830-\frac{d}{3}=1830−3d​=18 is d=36d = 36d=36.

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Question Solve for $d$ in the equation $30-\frac{d}{3}=18$ .

Assumptions
1. We are given the equation $30-\frac{d}{3}=18$ .
2. We need to solve for the variable $d$ .

First, we want to isolate the term containing the variable $d$ on one side of the equation. To do this, we can start by subtracting 30 from both sides of the equation.
$30 - \frac{d}{3} - 30 = 18 - 30$

Perform the subtraction on both sides of the equation.
$-\frac{d}{3} = -12$

Now, to solve for $d$ , we need to get rid of the fraction. We can do this by multiplying both sides of the equation by 3, which is the denominator of the fraction.
$3 \times \left(-\frac{d}{3}\right) = -12 \times 3$

Perform the multiplication on both sides of the equation.
$-d = -36$

We have $-d = -36$ , but we want to solve for $d$ . Since $-d$ is the same as $-1 \times d$ , we can divide both sides of the equation by $-1$ to get $d$ by itself.
$\frac{-d}{-1} = \frac{-36}{-1}$

Perform the division on both sides of the equation.
$d = 36$
The solution to the equation $30-\frac{d}{3}=18$ is $d = 36$ .