-2(4w-8)+9w=5(w+6)

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Solution for -2(4w-8)+9w=5(w+6) equation: 


Simplifying
-2(4w + -8) + 9w = 5(w + 6)

Reorder the terms:
-2(-8 + 4w) + 9w = 5(w + 6)
(-8 * -2 + 4w * -2) + 9w = 5(w + 6)
(16 + -8w) + 9w = 5(w + 6)

Combine like terms: -8w + 9w = 1w
16 + 1w = 5(w + 6)

Reorder the terms:
16 + 1w = 5(6 + w)
16 + 1w = (6 * 5 + w * 5)
16 + 1w = (30 + 5w)

Solving
16 + 1w = 30 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
16 + 1w + -5w = 30 + 5w + -5w

Combine like terms: 1w + -5w = -4w
16 + -4w = 30 + 5w + -5w

Combine like terms: 5w + -5w = 0
16 + -4w = 30 + 0
16 + -4w = 30

Add '-16' to each side of the equation.
16 + -16 + -4w = 30 + -16

Combine like terms: 16 + -16 = 0
0 + -4w = 30 + -16
-4w = 30 + -16

Combine like terms: 30 + -16 = 14
-4w = 14

Divide each side by '-4'.
w = -3.5

Simplifying
w = -3.5

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