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

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


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

Reorder the terms:
-2(-8 + w) + 8(w + -7) = -4
(-8 * -2 + w * -2) + 8(w + -7) = -4
(16 + -2w) + 8(w + -7) = -4

Reorder the terms:
16 + -2w + 8(-7 + w) = -4
16 + -2w + (-7 * 8 + w * 8) = -4
16 + -2w + (-56 + 8w) = -4

Reorder the terms:
16 + -56 + -2w + 8w = -4

Combine like terms: 16 + -56 = -40
-40 + -2w + 8w = -4

Combine like terms: -2w + 8w = 6w
-40 + 6w = -4

Solving
-40 + 6w = -4

Solving for variable 'w'.

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

Add '40' to each side of the equation.
-40 + 40 + 6w = -4 + 40

Combine like terms: -40 + 40 = 0
0 + 6w = -4 + 40
6w = -4 + 40

Combine like terms: -4 + 40 = 36
6w = 36

Divide each side by '6'.
w = 6

Simplifying
w = 6

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