-2(-2w+8)-9w=3(w-2)-8

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Solution for -2(-2w+8)-9w=3(w-2)-8 equation: 


Simplifying
-2(-2w + 8) + -9w = 3(w + -2) + -8

Reorder the terms:
-2(8 + -2w) + -9w = 3(w + -2) + -8
(8 * -2 + -2w * -2) + -9w = 3(w + -2) + -8
(-16 + 4w) + -9w = 3(w + -2) + -8

Combine like terms: 4w + -9w = -5w
-16 + -5w = 3(w + -2) + -8

Reorder the terms:
-16 + -5w = 3(-2 + w) + -8
-16 + -5w = (-2 * 3 + w * 3) + -8
-16 + -5w = (-6 + 3w) + -8

Reorder the terms:
-16 + -5w = -6 + -8 + 3w

Combine like terms: -6 + -8 = -14
-16 + -5w = -14 + 3w

Solving
-16 + -5w = -14 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-16 + -5w + -3w = -14 + 3w + -3w

Combine like terms: -5w + -3w = -8w
-16 + -8w = -14 + 3w + -3w

Combine like terms: 3w + -3w = 0
-16 + -8w = -14 + 0
-16 + -8w = -14

Add '16' to each side of the equation.
-16 + 16 + -8w = -14 + 16

Combine like terms: -16 + 16 = 0
0 + -8w = -14 + 16
-8w = -14 + 16

Combine like terms: -14 + 16 = 2
-8w = 2

Divide each side by '-8'.
w = -0.25

Simplifying
w = -0.25

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