4(8-3w)=32-8(w+2)

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Solution for 4(8-3w)=32-8(w+2) equation: 


Simplifying
4(8 + -3w) = 32 + -8(w + 2)
(8 * 4 + -3w * 4) = 32 + -8(w + 2)
(32 + -12w) = 32 + -8(w + 2)

Reorder the terms:
32 + -12w = 32 + -8(2 + w)
32 + -12w = 32 + (2 * -8 + w * -8)
32 + -12w = 32 + (-16 + -8w)

Combine like terms: 32 + -16 = 16
32 + -12w = 16 + -8w

Solving
32 + -12w = 16 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
32 + -12w + 8w = 16 + -8w + 8w

Combine like terms: -12w + 8w = -4w
32 + -4w = 16 + -8w + 8w

Combine like terms: -8w + 8w = 0
32 + -4w = 16 + 0
32 + -4w = 16

Add '-32' to each side of the equation.
32 + -32 + -4w = 16 + -32

Combine like terms: 32 + -32 = 0
0 + -4w = 16 + -32
-4w = 16 + -32

Combine like terms: 16 + -32 = -16
-4w = -16

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

Simplifying
w = 4

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