2(w+8)=-2(9w-5)+8w

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Solution for 2(w+8)=-2(9w-5)+8w equation: 


Simplifying
2(w + 8) = -2(9w + -5) + 8w

Reorder the terms:
2(8 + w) = -2(9w + -5) + 8w
(8 * 2 + w * 2) = -2(9w + -5) + 8w
(16 + 2w) = -2(9w + -5) + 8w

Reorder the terms:
16 + 2w = -2(-5 + 9w) + 8w
16 + 2w = (-5 * -2 + 9w * -2) + 8w
16 + 2w = (10 + -18w) + 8w

Combine like terms: -18w + 8w = -10w
16 + 2w = 10 + -10w

Solving
16 + 2w = 10 + -10w

Solving for variable 'w'.

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

Add '10w' to each side of the equation.
16 + 2w + 10w = 10 + -10w + 10w

Combine like terms: 2w + 10w = 12w
16 + 12w = 10 + -10w + 10w

Combine like terms: -10w + 10w = 0
16 + 12w = 10 + 0
16 + 12w = 10

Add '-16' to each side of the equation.
16 + -16 + 12w = 10 + -16

Combine like terms: 16 + -16 = 0
0 + 12w = 10 + -16
12w = 10 + -16

Combine like terms: 10 + -16 = -6
12w = -6

Divide each side by '12'.
w = -0.5

Simplifying
w = -0.5

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