Solved on Mar 06, 2024

Solve for the value of $b$ in the equation $-76 = -3b - 49$ .

STEP 1

Assumptions
1. We are given the equation $-76=-3b-49$ .
2. We need to solve for $b$ .

STEP 2

First, we need to isolate the term containing $b$ on one side of the equation. To do this, we will add $49$ to both sides of the equation to move the constant term to the other side.
$-76 + 49 = -3b - 49 + 49$

STEP 3

Perform the addition on both sides of the equation.
$-76 + 49 = -3b$

STEP 4

Simplify the left side of the equation by adding the numbers together.
$-27 = -3b$

STEP 5

Now, we need to isolate $b$ by dividing both sides of the equation by $-3$ .
$\frac{-27}{-3} = \frac{-3b}{-3}$

STEP 6

Perform the division on both sides.
$9 = b$
Therefore, $b = 9$ .

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Solve for the value of $b$ in the equation $-76 = -3b - 49$ .

STEP 1

Assumptions
1. We are given the equation $-76=-3b-49$ .
2. We need to solve for $b$ .

STEP 2

First, we need to isolate the term containing $b$ on one side of the equation. To do this, we will add $49$ to both sides of the equation to move the constant term to the other side.
$-76 + 49 = -3b - 49 + 49$

STEP 3

Perform the addition on both sides of the equation.
$-76 + 49 = -3b$

STEP 4

Simplify the left side of the equation by adding the numbers together.
$-27 = -3b$

STEP 5

Now, we need to isolate $b$ by dividing both sides of the equation by $-3$ .
$\frac{-27}{-3} = \frac{-3b}{-3}$

STEP 6

Perform the division on both sides.
$9 = b$
Therefore, $b = 9$ .

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Solve for the value of bbb in the equation −76=−3b−49-76 = -3b - 49−76=−3b−49.

STEP 1

Assumptions1. We are given the equation −76=−3b−49-76=-3b-49−76=−3b−49.2. We need to solve for bbb.

STEP 2

First, we need to isolate the term containing bbb on one side of the equation. To do this, we will add 494949 to both sides of the equation to move the constant term to the other side.−76+49=−3b−49+49-76 + 49 = -3b - 49 + 49−76+49=−3b−49+49

STEP 3

Perform the addition on both sides of the equation.−76+49=−3b-76 + 49 = -3b−76+49=−3b

STEP 4

Simplify the left side of the equation by adding the numbers together.−27=−3b-27 = -3b−27=−3b

STEP 5

Now, we need to isolate bbb by dividing both sides of the equation by −3-3−3.−27−3=−3b−3\frac{-27}{-3} = \frac{-3b}{-3}−3−27​=−3−3b​

STEP 6

Perform the division on both sides.9=b9 = b9=bTherefore, b=9b = 9b=9.

Start learning now

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

Solve for the value of $b$ in the equation $-76 = -3b - 49$ .

Assumptions
1. We are given the equation $-76=-3b-49$ .
2. We need to solve for $b$ .

First, we need to isolate the term containing $b$ on one side of the equation. To do this, we will add $49$ to both sides of the equation to move the constant term to the other side.
$-76 + 49 = -3b - 49 + 49$

Perform the addition on both sides of the equation.
$-76 + 49 = -3b$

Simplify the left side of the equation by adding the numbers together.
$-27 = -3b$

Now, we need to isolate $b$ by dividing both sides of the equation by $-3$ .
$\frac{-27}{-3} = \frac{-3b}{-3}$

Perform the division on both sides.
$9 = b$
Therefore, $b = 9$ .