-2(6w-8)+9w=3(w+6)

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Solution for -2(6w-8)+9w=3(w+6) equation: 


Simplifying
-2(6w + -8) + 9w = 3(w + 6)

Reorder the terms:
-2(-8 + 6w) + 9w = 3(w + 6)
(-8 * -2 + 6w * -2) + 9w = 3(w + 6)
(16 + -12w) + 9w = 3(w + 6)

Combine like terms: -12w + 9w = -3w
16 + -3w = 3(w + 6)

Reorder the terms:
16 + -3w = 3(6 + w)
16 + -3w = (6 * 3 + w * 3)
16 + -3w = (18 + 3w)

Solving
16 + -3w = 18 + 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 + -3w + -3w = 18 + 3w + -3w

Combine like terms: -3w + -3w = -6w
16 + -6w = 18 + 3w + -3w

Combine like terms: 3w + -3w = 0
16 + -6w = 18 + 0
16 + -6w = 18

Add '-16' to each side of the equation.
16 + -16 + -6w = 18 + -16

Combine like terms: 16 + -16 = 0
0 + -6w = 18 + -16
-6w = 18 + -16

Combine like terms: 18 + -16 = 2
-6w = 2

Divide each side by '-6'.
w = -0.3333333333

Simplifying
w = -0.3333333333

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