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

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


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

Reorder the terms:
-6(7 + w) = 2w + -2
(7 * -6 + w * -6) = 2w + -2
(-42 + -6w) = 2w + -2

Reorder the terms:
-42 + -6w = -2 + 2w

Solving
-42 + -6w = -2 + 2w

Solving for variable 'w'.

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

Add '-2w' to each side of the equation.
-42 + -6w + -2w = -2 + 2w + -2w

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

Combine like terms: 2w + -2w = 0
-42 + -8w = -2 + 0
-42 + -8w = -2

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

Combine like terms: -42 + 42 = 0
0 + -8w = -2 + 42
-8w = -2 + 42

Combine like terms: -2 + 42 = 40
-8w = 40

Divide each side by '-8'.
w = -5

Simplifying
w = -5

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