4(w+6)=-4w-32

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Solution for 4(w+6)=-4w-32 equation:


Simplifying
4(w + 6) = -4w + -32

Reorder the terms:
4(6 + w) = -4w + -32
(6 * 4 + w * 4) = -4w + -32
(24 + 4w) = -4w + -32

Reorder the terms:
24 + 4w = -32 + -4w

Solving
24 + 4w = -32 + -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.
24 + 4w + 4w = -32 + -4w + 4w

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

Combine like terms: -4w + 4w = 0
24 + 8w = -32 + 0
24 + 8w = -32

Add '-24' to each side of the equation.
24 + -24 + 8w = -32 + -24

Combine like terms: 24 + -24 = 0
0 + 8w = -32 + -24
8w = -32 + -24

Combine like terms: -32 + -24 = -56
8w = -56

Divide each side by '8'.
w = -7

Simplifying
w = -7

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