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QuestionSolve the equation step by step and find bb. Fill in missing terms and simplify.
2(3b+5)+12b=13b+15 2(3 b+5)+12 b =13 b+15

Studdy Solution

STEP 1

Assumptions1. The equation is given as (3b+5)+12b=13b+15(3b+5)+12b =13b+15 . The operations are performed on both sides of the equation to maintain equality3. The goal is to isolate bb on one side of the equation

STEP 2

First, we distribute the2 into the parentheses on the left side of the equation.
2(b+5)+12b=6b+10+12b2(b+5)+12b =6b+10+12b

STEP 3

Combine like terms on the left side of the equation.
6b+10+12b=18b+106b+10+12b =18b+10

STEP 4

Subtract 13b13b from both sides of the equation.
18b+10−13b=13b+15−13b18b+10-13b =13b+15-13b

STEP 5

implify both sides of the equation.
5b+10=155b+10 =15

STEP 6

Subtract10 from both sides of the equation.
5b+10−10=15−105b+10-10 =15-10

STEP 7

implify both sides of the equation.
5b=55b =5

STEP 8

Divide both sides of the equation by5.
5b5=55\frac{5b}{5} = \frac{5}{5}

STEP 9

implify both sides of the equation.
b=b =The solution to the equation is b=b =.

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