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

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


Simplifying
-8(-4 + -12b) + 4b = 12(8b + 3)
(-4 * -8 + -12b * -8) + 4b = 12(8b + 3)
(32 + 96b) + 4b = 12(8b + 3)

Combine like terms: 96b + 4b = 100b
32 + 100b = 12(8b + 3)

Reorder the terms:
32 + 100b = 12(3 + 8b)
32 + 100b = (3 * 12 + 8b * 12)
32 + 100b = (36 + 96b)

Solving
32 + 100b = 36 + 96b

Solving for variable 'b'.

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

Add '-96b' to each side of the equation.
32 + 100b + -96b = 36 + 96b + -96b

Combine like terms: 100b + -96b = 4b
32 + 4b = 36 + 96b + -96b

Combine like terms: 96b + -96b = 0
32 + 4b = 36 + 0
32 + 4b = 36

Add '-32' to each side of the equation.
32 + -32 + 4b = 36 + -32

Combine like terms: 32 + -32 = 0
0 + 4b = 36 + -32
4b = 36 + -32

Combine like terms: 36 + -32 = 4
4b = 4

Divide each side by '4'.
b = 1

Simplifying
b = 1

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