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

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


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

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

Combine like terms: 6 + 8 = 14
14 + -3w = -8(w + -2) + -8

Reorder the terms:
14 + -3w = -8(-2 + w) + -8
14 + -3w = (-2 * -8 + w * -8) + -8
14 + -3w = (16 + -8w) + -8

Reorder the terms:
14 + -3w = 16 + -8 + -8w

Combine like terms: 16 + -8 = 8
14 + -3w = 8 + -8w

Solving
14 + -3w = 8 + -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.
14 + -3w + 8w = 8 + -8w + 8w

Combine like terms: -3w + 8w = 5w
14 + 5w = 8 + -8w + 8w

Combine like terms: -8w + 8w = 0
14 + 5w = 8 + 0
14 + 5w = 8

Add '-14' to each side of the equation.
14 + -14 + 5w = 8 + -14

Combine like terms: 14 + -14 = 0
0 + 5w = 8 + -14
5w = 8 + -14

Combine like terms: 8 + -14 = -6
5w = -6

Divide each side by '5'.
w = -1.2

Simplifying
w = -1.2

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