Solved on Mar 06, 2024

Simplify $3u + 3u = 42$ to find the value of $u$ .

STEP 1

Assumptions
1. We are given the equation $3u + 3u = 42$ .
2. We need to solve for the variable $u$ .

STEP 2

Combine like terms on the left side of the equation.
$3u + 3u = 2 \cdot 3u$

STEP 3

Now, simplify the left side of the equation by multiplying the coefficient.
$2 \cdot 3u = 6u$

STEP 4

Rewrite the equation with the simplified left side.
$6u = 42$

STEP 5

To solve for $u$ , we need to isolate the variable by dividing both sides of the equation by the coefficient of $u$ , which is 6.
$\frac{6u}{6} = \frac{42}{6}$

STEP 6

Perform the division on both sides of the equation.
$u = 7$
The solution to the equation $3u + 3u = 42$ is $u = 7$ .

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Simplify $3u + 3u = 42$ to find the value of $u$ .

STEP 1

Assumptions
1. We are given the equation $3u + 3u = 42$ .
2. We need to solve for the variable $u$ .

STEP 2

Combine like terms on the left side of the equation.
$3u + 3u = 2 \cdot 3u$

STEP 3

Now, simplify the left side of the equation by multiplying the coefficient.
$2 \cdot 3u = 6u$

STEP 4

Rewrite the equation with the simplified left side.
$6u = 42$

STEP 5

To solve for $u$ , we need to isolate the variable by dividing both sides of the equation by the coefficient of $u$ , which is 6.
$\frac{6u}{6} = \frac{42}{6}$

STEP 6

Perform the division on both sides of the equation.
$u = 7$
The solution to the equation $3u + 3u = 42$ is $u = 7$ .

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Simplify 3u+3u=423u + 3u = 423u+3u=42 to find the value of uuu.

STEP 1

Assumptions1. We are given the equation 3u+3u=423u + 3u = 423u+3u=42.2. We need to solve for the variable uuu.

STEP 2

Combine like terms on the left side of the equation.3u+3u=2⋅3u3u + 3u = 2 \cdot 3u3u+3u=2⋅3u

STEP 3

Now, simplify the left side of the equation by multiplying the coefficient.2⋅3u=6u2 \cdot 3u = 6u2⋅3u=6u

STEP 4

Rewrite the equation with the simplified left side.6u=426u = 426u=42

STEP 5

To solve for uuu, we need to isolate the variable by dividing both sides of the equation by the coefficient of uuu, which is 6.6u6=426\frac{6u}{6} = \frac{42}{6}66u​=642​

STEP 6

Perform the division on both sides of the equation.u=7u = 7u=7The solution to the equation 3u+3u=423u + 3u = 423u+3u=42 is u=7u = 7u=7.

Start learning now

Download Studdy AI Tutor now. Learn with ease and get all help you need to be successful at school.

Simplify $3u + 3u = 42$ to find the value of $u$ .

Assumptions
1. We are given the equation $3u + 3u = 42$ .
2. We need to solve for the variable $u$ .

Combine like terms on the left side of the equation.
$3u + 3u = 2 \cdot 3u$

Now, simplify the left side of the equation by multiplying the coefficient.
$2 \cdot 3u = 6u$

Rewrite the equation with the simplified left side.
$6u = 42$

To solve for $u$ , we need to isolate the variable by dividing both sides of the equation by the coefficient of $u$ , which is 6.
$\frac{6u}{6} = \frac{42}{6}$

Perform the division on both sides of the equation.
$u = 7$
The solution to the equation $3u + 3u = 42$ is $u = 7$ .