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

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


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

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

Combine like terms: 8 + 7 = 15
15 + -2w = -7(w + -4) + -8

Reorder the terms:
15 + -2w = -7(-4 + w) + -8
15 + -2w = (-4 * -7 + w * -7) + -8
15 + -2w = (28 + -7w) + -8

Reorder the terms:
15 + -2w = 28 + -8 + -7w

Combine like terms: 28 + -8 = 20
15 + -2w = 20 + -7w

Solving
15 + -2w = 20 + -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.
15 + -2w + 7w = 20 + -7w + 7w

Combine like terms: -2w + 7w = 5w
15 + 5w = 20 + -7w + 7w

Combine like terms: -7w + 7w = 0
15 + 5w = 20 + 0
15 + 5w = 20

Add '-15' to each side of the equation.
15 + -15 + 5w = 20 + -15

Combine like terms: 15 + -15 = 0
0 + 5w = 20 + -15
5w = 20 + -15

Combine like terms: 20 + -15 = 5
5w = 5

Divide each side by '5'.
w = 1

Simplifying
w = 1

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