-4(-4w+3)-4w=2(w-6)-8

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Solution for -4(-4w+3)-4w=2(w-6)-8 equation:


Simplifying
-4(-4w + 3) + -4w = 2(w + -6) + -8

Reorder the terms:
-4(3 + -4w) + -4w = 2(w + -6) + -8
(3 * -4 + -4w * -4) + -4w = 2(w + -6) + -8
(-12 + 16w) + -4w = 2(w + -6) + -8

Combine like terms: 16w + -4w = 12w
-12 + 12w = 2(w + -6) + -8

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

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

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

Solving
-12 + 12w = -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.
-12 + 12w + -2w = -20 + 2w + -2w

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

Combine like terms: 2w + -2w = 0
-12 + 10w = -20 + 0
-12 + 10w = -20

Add '12' to each side of the equation.
-12 + 12 + 10w = -20 + 12

Combine like terms: -12 + 12 = 0
0 + 10w = -20 + 12
10w = -20 + 12

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

Divide each side by '10'.
w = -0.8

Simplifying
w = -0.8

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