2w-16=-9(w-8)

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Solution for 2w-16=-9(w-8) equation: 


Simplifying
2w + -16 = -9(w + -8)

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

Reorder the terms:
-16 + 2w = -9(-8 + w)
-16 + 2w = (-8 * -9 + w * -9)
-16 + 2w = (72 + -9w)

Solving
-16 + 2w = 72 + -9w

Solving for variable 'w'.

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

Add '9w' to each side of the equation.
-16 + 2w + 9w = 72 + -9w + 9w

Combine like terms: 2w + 9w = 11w
-16 + 11w = 72 + -9w + 9w

Combine like terms: -9w + 9w = 0
-16 + 11w = 72 + 0
-16 + 11w = 72

Add '16' to each side of the equation.
-16 + 16 + 11w = 72 + 16

Combine like terms: -16 + 16 = 0
0 + 11w = 72 + 16
11w = 72 + 16

Combine like terms: 72 + 16 = 88
11w = 88

Divide each side by '11'.
w = 8

Simplifying
w = 8

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