-4(w-3)-(8+2w)=-7w

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Solution for -4(w-3)-(8+2w)=-7w equation: 


Simplifying
-4(w + -3) + -1(8 + 2w) = -7w

Reorder the terms:
-4(-3 + w) + -1(8 + 2w) = -7w
(-3 * -4 + w * -4) + -1(8 + 2w) = -7w
(12 + -4w) + -1(8 + 2w) = -7w
12 + -4w + (8 * -1 + 2w * -1) = -7w
12 + -4w + (-8 + -2w) = -7w

Reorder the terms:
12 + -8 + -4w + -2w = -7w

Combine like terms: 12 + -8 = 4
4 + -4w + -2w = -7w

Combine like terms: -4w + -2w = -6w
4 + -6w = -7w

Solving
4 + -6w = -7w

Solving for variable 'w'.

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

Add '7w' to each side of the equation.
4 + -6w + 7w = -7w + 7w

Combine like terms: -6w + 7w = 1w
4 + 1w = -7w + 7w

Combine like terms: -7w + 7w = 0
4 + 1w = 0

Add '-4' to each side of the equation.
4 + -4 + 1w = 0 + -4

Combine like terms: 4 + -4 = 0
0 + 1w = 0 + -4
1w = 0 + -4

Combine like terms: 0 + -4 = -4
1w = -4

Divide each side by '1'.
w = -4

Simplifying
w = -4

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