31+7b=3(-2b+6)

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Solution for 31+7b=3(-2b+6) equation: 


Simplifying
31 + 7b = 3(-2b + 6)

Reorder the terms:
31 + 7b = 3(6 + -2b)
31 + 7b = (6 * 3 + -2b * 3)
31 + 7b = (18 + -6b)

Solving
31 + 7b = 18 + -6b

Solving for variable 'b'.

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

Add '6b' to each side of the equation.
31 + 7b + 6b = 18 + -6b + 6b

Combine like terms: 7b + 6b = 13b
31 + 13b = 18 + -6b + 6b

Combine like terms: -6b + 6b = 0
31 + 13b = 18 + 0
31 + 13b = 18

Add '-31' to each side of the equation.
31 + -31 + 13b = 18 + -31

Combine like terms: 31 + -31 = 0
0 + 13b = 18 + -31
13b = 18 + -31

Combine like terms: 18 + -31 = -13
13b = -13

Divide each side by '13'.
b = -1

Simplifying
b = -1

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