-4(-4w+8)-6w=2(w-6)-8

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Solution for -4(-4w+8)-6w=2(w-6)-8 equation:


Simplifying
-4(-4w + 8) + -6w = 2(w + -6) + -8

Reorder the terms:
-4(8 + -4w) + -6w = 2(w + -6) + -8
(8 * -4 + -4w * -4) + -6w = 2(w + -6) + -8
(-32 + 16w) + -6w = 2(w + -6) + -8

Combine like terms: 16w + -6w = 10w
-32 + 10w = 2(w + -6) + -8

Reorder the terms:
-32 + 10w = 2(-6 + w) + -8
-32 + 10w = (-6 * 2 + w * 2) + -8
-32 + 10w = (-12 + 2w) + -8

Reorder the terms:
-32 + 10w = -12 + -8 + 2w

Combine like terms: -12 + -8 = -20
-32 + 10w = -20 + 2w

Solving
-32 + 10w = -20 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-32 + 10w + -2w = -20 + 2w + -2w

Combine like terms: 10w + -2w = 8w
-32 + 8w = -20 + 2w + -2w

Combine like terms: 2w + -2w = 0
-32 + 8w = -20 + 0
-32 + 8w = -20

Add '32' to each side of the equation.
-32 + 32 + 8w = -20 + 32

Combine like terms: -32 + 32 = 0
0 + 8w = -20 + 32
8w = -20 + 32

Combine like terms: -20 + 32 = 12
8w = 12

Divide each side by '8'.
w = 1.5

Simplifying
w = 1.5

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