32=-2(23-b)+3(b-4)

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Solution for 32=-2(23-b)+3(b-4) equation:


Simplifying
32 = -2(23 + -1b) + 3(b + -4)
32 = (23 * -2 + -1b * -2) + 3(b + -4)
32 = (-46 + 2b) + 3(b + -4)

Reorder the terms:
32 = -46 + 2b + 3(-4 + b)
32 = -46 + 2b + (-4 * 3 + b * 3)
32 = -46 + 2b + (-12 + 3b)

Reorder the terms:
32 = -46 + -12 + 2b + 3b

Combine like terms: -46 + -12 = -58
32 = -58 + 2b + 3b

Combine like terms: 2b + 3b = 5b
32 = -58 + 5b

Solving
32 = -58 + 5b

Solving for variable 'b'.

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

Add '-5b' to each side of the equation.
32 + -5b = -58 + 5b + -5b

Combine like terms: 5b + -5b = 0
32 + -5b = -58 + 0
32 + -5b = -58

Add '-32' to each side of the equation.
32 + -32 + -5b = -58 + -32

Combine like terms: 32 + -32 = 0
0 + -5b = -58 + -32
-5b = -58 + -32

Combine like terms: -58 + -32 = -90
-5b = -90

Divide each side by '-5'.
b = 18

Simplifying
b = 18

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