56(b+79)-(71b-56)=b-12+46b-96

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Solution for 56(b+79)-(71b-56)=b-12+46b-96 equation: 


Simplifying
56(b + 79) + -1(71b + -56) = b + -12 + 46b + -96

Reorder the terms:
56(79 + b) + -1(71b + -56) = b + -12 + 46b + -96
(79 * 56 + b * 56) + -1(71b + -56) = b + -12 + 46b + -96
(4424 + 56b) + -1(71b + -56) = b + -12 + 46b + -96

Reorder the terms:
4424 + 56b + -1(-56 + 71b) = b + -12 + 46b + -96
4424 + 56b + (-56 * -1 + 71b * -1) = b + -12 + 46b + -96
4424 + 56b + (56 + -71b) = b + -12 + 46b + -96

Reorder the terms:
4424 + 56 + 56b + -71b = b + -12 + 46b + -96

Combine like terms: 4424 + 56 = 4480
4480 + 56b + -71b = b + -12 + 46b + -96

Combine like terms: 56b + -71b = -15b
4480 + -15b = b + -12 + 46b + -96

Reorder the terms:
4480 + -15b = -12 + -96 + b + 46b

Combine like terms: -12 + -96 = -108
4480 + -15b = -108 + b + 46b

Combine like terms: b + 46b = 47b
4480 + -15b = -108 + 47b

Solving
4480 + -15b = -108 + 47b

Solving for variable 'b'.

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

Add '-47b' to each side of the equation.
4480 + -15b + -47b = -108 + 47b + -47b

Combine like terms: -15b + -47b = -62b
4480 + -62b = -108 + 47b + -47b

Combine like terms: 47b + -47b = 0
4480 + -62b = -108 + 0
4480 + -62b = -108

Add '-4480' to each side of the equation.
4480 + -4480 + -62b = -108 + -4480

Combine like terms: 4480 + -4480 = 0
0 + -62b = -108 + -4480
-62b = -108 + -4480

Combine like terms: -108 + -4480 = -4588
-62b = -4588

Divide each side by '-62'.
b = 74

Simplifying
b = 74

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