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

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


Simplifying
6(9 + -1w) + 2 = -2(w + -3) + -8
(9 * 6 + -1w * 6) + 2 = -2(w + -3) + -8
(54 + -6w) + 2 = -2(w + -3) + -8

Reorder the terms:
54 + 2 + -6w = -2(w + -3) + -8

Combine like terms: 54 + 2 = 56
56 + -6w = -2(w + -3) + -8

Reorder the terms:
56 + -6w = -2(-3 + w) + -8
56 + -6w = (-3 * -2 + w * -2) + -8
56 + -6w = (6 + -2w) + -8

Reorder the terms:
56 + -6w = 6 + -8 + -2w

Combine like terms: 6 + -8 = -2
56 + -6w = -2 + -2w

Solving
56 + -6w = -2 + -2w

Solving for variable 'w'.

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

Add '2w' to each side of the equation.
56 + -6w + 2w = -2 + -2w + 2w

Combine like terms: -6w + 2w = -4w
56 + -4w = -2 + -2w + 2w

Combine like terms: -2w + 2w = 0
56 + -4w = -2 + 0
56 + -4w = -2

Add '-56' to each side of the equation.
56 + -56 + -4w = -2 + -56

Combine like terms: 56 + -56 = 0
0 + -4w = -2 + -56
-4w = -2 + -56

Combine like terms: -2 + -56 = -58
-4w = -58

Divide each side by '-4'.
w = 14.5

Simplifying
w = 14.5

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