-6+3(7b-5)=31+8b

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Solution for -6+3(7b-5)=31+8b equation:


Simplifying
-6 + 3(7b + -5) = 31 + 8b

Reorder the terms:
-6 + 3(-5 + 7b) = 31 + 8b
-6 + (-5 * 3 + 7b * 3) = 31 + 8b
-6 + (-15 + 21b) = 31 + 8b

Combine like terms: -6 + -15 = -21
-21 + 21b = 31 + 8b

Solving
-21 + 21b = 31 + 8b

Solving for variable 'b'.

Move all terms containing b to the left, all other terms to the right.

Add '-8b' to each side of the equation.
-21 + 21b + -8b = 31 + 8b + -8b

Combine like terms: 21b + -8b = 13b
-21 + 13b = 31 + 8b + -8b

Combine like terms: 8b + -8b = 0
-21 + 13b = 31 + 0
-21 + 13b = 31

Add '21' to each side of the equation.
-21 + 21 + 13b = 31 + 21

Combine like terms: -21 + 21 = 0
0 + 13b = 31 + 21
13b = 31 + 21

Combine like terms: 31 + 21 = 52
13b = 52

Divide each side by '13'.
b = 4

Simplifying
b = 4

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