32=-2(24-b)+4(b-4)

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Solution for 32=-2(24-b)+4(b-4) equation: 


Simplifying
32 = -2(24 + -1b) + 4(b + -4)
32 = (24 * -2 + -1b * -2) + 4(b + -4)
32 = (-48 + 2b) + 4(b + -4)

Reorder the terms:
32 = -48 + 2b + 4(-4 + b)
32 = -48 + 2b + (-4 * 4 + b * 4)
32 = -48 + 2b + (-16 + 4b)

Reorder the terms:
32 = -48 + -16 + 2b + 4b

Combine like terms: -48 + -16 = -64
32 = -64 + 2b + 4b

Combine like terms: 2b + 4b = 6b
32 = -64 + 6b

Solving
32 = -64 + 6b

Solving for variable 'b'.

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

Add '-6b' to each side of the equation.
32 + -6b = -64 + 6b + -6b

Combine like terms: 6b + -6b = 0
32 + -6b = -64 + 0
32 + -6b = -64

Add '-32' to each side of the equation.
32 + -32 + -6b = -64 + -32

Combine like terms: 32 + -32 = 0
0 + -6b = -64 + -32
-6b = -64 + -32

Combine like terms: -64 + -32 = -96
-6b = -96

Divide each side by '-6'.
b = 16

Simplifying
b = 16

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