-2(w-6)=-8w-42

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Solution for -2(w-6)=-8w-42 equation:


Simplifying
-2(w + -6) = -8w + -42

Reorder the terms:
-2(-6 + w) = -8w + -42
(-6 * -2 + w * -2) = -8w + -42
(12 + -2w) = -8w + -42

Reorder the terms:
12 + -2w = -42 + -8w

Solving
12 + -2w = -42 + -8w

Solving for variable 'w'.

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

Add '8w' to each side of the equation.
12 + -2w + 8w = -42 + -8w + 8w

Combine like terms: -2w + 8w = 6w
12 + 6w = -42 + -8w + 8w

Combine like terms: -8w + 8w = 0
12 + 6w = -42 + 0
12 + 6w = -42

Add '-12' to each side of the equation.
12 + -12 + 6w = -42 + -12

Combine like terms: 12 + -12 = 0
0 + 6w = -42 + -12
6w = -42 + -12

Combine like terms: -42 + -12 = -54
6w = -54

Divide each side by '6'.
w = -9

Simplifying
w = -9

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