2b-7(b-8)=-8b+32

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Solution for 2b-7(b-8)=-8b+32 equation:


Simplifying
2b + -7(b + -8) = -8b + 32

Reorder the terms:
2b + -7(-8 + b) = -8b + 32
2b + (-8 * -7 + b * -7) = -8b + 32
2b + (56 + -7b) = -8b + 32

Reorder the terms:
56 + 2b + -7b = -8b + 32

Combine like terms: 2b + -7b = -5b
56 + -5b = -8b + 32

Reorder the terms:
56 + -5b = 32 + -8b

Solving
56 + -5b = 32 + -8b

Solving for variable 'b'.

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

Add '8b' to each side of the equation.
56 + -5b + 8b = 32 + -8b + 8b

Combine like terms: -5b + 8b = 3b
56 + 3b = 32 + -8b + 8b

Combine like terms: -8b + 8b = 0
56 + 3b = 32 + 0
56 + 3b = 32

Add '-56' to each side of the equation.
56 + -56 + 3b = 32 + -56

Combine like terms: 56 + -56 = 0
0 + 3b = 32 + -56
3b = 32 + -56

Combine like terms: 32 + -56 = -24
3b = -24

Divide each side by '3'.
b = -8

Simplifying
b = -8

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