32=-7w+3(w+8)

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Solution for 32=-7w+3(w+8) equation: 


Simplifying
32 = -7w + 3(w + 8)

Reorder the terms:
32 = -7w + 3(8 + w)
32 = -7w + (8 * 3 + w * 3)
32 = -7w + (24 + 3w)

Reorder the terms:
32 = 24 + -7w + 3w

Combine like terms: -7w + 3w = -4w
32 = 24 + -4w

Solving
32 = 24 + -4w

Solving for variable 'w'.

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

Add '4w' to each side of the equation.
32 + 4w = 24 + -4w + 4w

Combine like terms: -4w + 4w = 0
32 + 4w = 24 + 0
32 + 4w = 24

Add '-32' to each side of the equation.
32 + -32 + 4w = 24 + -32

Combine like terms: 32 + -32 = 0
0 + 4w = 24 + -32
4w = 24 + -32

Combine like terms: 24 + -32 = -8
4w = -8

Divide each side by '4'.
w = -2

Simplifying
w = -2

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