2(3-w)+6=-6(w-2)-7

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Solution for 2(3-w)+6=-6(w-2)-7 equation: 


Simplifying
2(3 + -1w) + 6 = -6(w + -2) + -7
(3 * 2 + -1w * 2) + 6 = -6(w + -2) + -7
(6 + -2w) + 6 = -6(w + -2) + -7

Reorder the terms:
6 + 6 + -2w = -6(w + -2) + -7

Combine like terms: 6 + 6 = 12
12 + -2w = -6(w + -2) + -7

Reorder the terms:
12 + -2w = -6(-2 + w) + -7
12 + -2w = (-2 * -6 + w * -6) + -7
12 + -2w = (12 + -6w) + -7

Reorder the terms:
12 + -2w = 12 + -7 + -6w

Combine like terms: 12 + -7 = 5
12 + -2w = 5 + -6w

Solving
12 + -2w = 5 + -6w

Solving for variable 'w'.

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

Add '6w' to each side of the equation.
12 + -2w + 6w = 5 + -6w + 6w

Combine like terms: -2w + 6w = 4w
12 + 4w = 5 + -6w + 6w

Combine like terms: -6w + 6w = 0
12 + 4w = 5 + 0
12 + 4w = 5

Add '-12' to each side of the equation.
12 + -12 + 4w = 5 + -12

Combine like terms: 12 + -12 = 0
0 + 4w = 5 + -12
4w = 5 + -12

Combine like terms: 5 + -12 = -7
4w = -7

Divide each side by '4'.
w = -1.75

Simplifying
w = -1.75

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