3(b+12)=8-4b

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Solution for 3(b+12)=8-4b equation:


Simplifying
3(b + 12) = 8 + -4b

Reorder the terms:
3(12 + b) = 8 + -4b
(12 * 3 + b * 3) = 8 + -4b
(36 + 3b) = 8 + -4b

Solving
36 + 3b = 8 + -4b

Solving for variable 'b'.

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

Add '4b' to each side of the equation.
36 + 3b + 4b = 8 + -4b + 4b

Combine like terms: 3b + 4b = 7b
36 + 7b = 8 + -4b + 4b

Combine like terms: -4b + 4b = 0
36 + 7b = 8 + 0
36 + 7b = 8

Add '-36' to each side of the equation.
36 + -36 + 7b = 8 + -36

Combine like terms: 36 + -36 = 0
0 + 7b = 8 + -36
7b = 8 + -36

Combine like terms: 8 + -36 = -28
7b = -28

Divide each side by '7'.
b = -4

Simplifying
b = -4

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