2(w+8)-(9w-4)=-8w

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Solution for 2(w+8)-(9w-4)=-8w equation: 


Simplifying
2(w + 8) + -1(9w + -4) = -8w

Reorder the terms:
2(8 + w) + -1(9w + -4) = -8w
(8 * 2 + w * 2) + -1(9w + -4) = -8w
(16 + 2w) + -1(9w + -4) = -8w

Reorder the terms:
16 + 2w + -1(-4 + 9w) = -8w
16 + 2w + (-4 * -1 + 9w * -1) = -8w
16 + 2w + (4 + -9w) = -8w

Reorder the terms:
16 + 4 + 2w + -9w = -8w

Combine like terms: 16 + 4 = 20
20 + 2w + -9w = -8w

Combine like terms: 2w + -9w = -7w
20 + -7w = -8w

Solving
20 + -7w = -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
20 + -7w + 8w = -8w + 8w

Combine like terms: -7w + 8w = 1w
20 + 1w = -8w + 8w

Combine like terms: -8w + 8w = 0
20 + 1w = 0

Add '-20' to each side of the equation.
20 + -20 + 1w = 0 + -20

Combine like terms: 20 + -20 = 0
0 + 1w = 0 + -20
1w = 0 + -20

Combine like terms: 0 + -20 = -20
1w = -20

Divide each side by '1'.
w = -20

Simplifying
w = -20

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