15=3(1-4b)-3(8+8b)

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Solution for 15=3(1-4b)-3(8+8b) equation: 


Simplifying
15 = 3(1 + -4b) + -3(8 + 8b)
15 = (1 * 3 + -4b * 3) + -3(8 + 8b)
15 = (3 + -12b) + -3(8 + 8b)
15 = 3 + -12b + (8 * -3 + 8b * -3)
15 = 3 + -12b + (-24 + -24b)

Reorder the terms:
15 = 3 + -24 + -12b + -24b

Combine like terms: 3 + -24 = -21
15 = -21 + -12b + -24b

Combine like terms: -12b + -24b = -36b
15 = -21 + -36b

Solving
15 = -21 + -36b

Solving for variable 'b'.

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

Add '36b' to each side of the equation.
15 + 36b = -21 + -36b + 36b

Combine like terms: -36b + 36b = 0
15 + 36b = -21 + 0
15 + 36b = -21

Add '-15' to each side of the equation.
15 + -15 + 36b = -21 + -15

Combine like terms: 15 + -15 = 0
0 + 36b = -21 + -15
36b = -21 + -15

Combine like terms: -21 + -15 = -36
36b = -36

Divide each side by '36'.
b = -1

Simplifying
b = -1

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