5-4w+12=-2(3w-8)+w

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Solution for 5-4w+12=-2(3w-8)+w equation: 


Simplifying
5 + -4w + 12 = -2(3w + -8) + w

Reorder the terms:
5 + 12 + -4w = -2(3w + -8) + w

Combine like terms: 5 + 12 = 17
17 + -4w = -2(3w + -8) + w

Reorder the terms:
17 + -4w = -2(-8 + 3w) + w
17 + -4w = (-8 * -2 + 3w * -2) + w
17 + -4w = (16 + -6w) + w

Combine like terms: -6w + w = -5w
17 + -4w = 16 + -5w

Solving
17 + -4w = 16 + -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.
17 + -4w + 5w = 16 + -5w + 5w

Combine like terms: -4w + 5w = 1w
17 + 1w = 16 + -5w + 5w

Combine like terms: -5w + 5w = 0
17 + 1w = 16 + 0
17 + 1w = 16

Add '-17' to each side of the equation.
17 + -17 + 1w = 16 + -17

Combine like terms: 17 + -17 = 0
0 + 1w = 16 + -17
1w = 16 + -17

Combine like terms: 16 + -17 = -1
1w = -1

Divide each side by '1'.
w = -1

Simplifying
w = -1

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