-2w+4-2(-6w-2)=(w-1)

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Solution for -2w+4-2(-6w-2)=(w-1) equation: 


Simplifying
-2w + 4 + -2(-6w + -2) = (w + -1)

Reorder the terms:
-2w + 4 + -2(-2 + -6w) = (w + -1)
-2w + 4 + (-2 * -2 + -6w * -2) = (w + -1)
-2w + 4 + (4 + 12w) = (w + -1)

Reorder the terms:
4 + 4 + -2w + 12w = (w + -1)

Combine like terms: 4 + 4 = 8
8 + -2w + 12w = (w + -1)

Combine like terms: -2w + 12w = 10w
8 + 10w = (w + -1)

Reorder the terms:
8 + 10w = (-1 + w)

Remove parenthesis around (-1 + w)
8 + 10w = -1 + w

Solving
8 + 10w = -1 + w

Solving for variable 'w'.

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

Add '-1w' to each side of the equation.
8 + 10w + -1w = -1 + w + -1w

Combine like terms: 10w + -1w = 9w
8 + 9w = -1 + w + -1w

Combine like terms: w + -1w = 0
8 + 9w = -1 + 0
8 + 9w = -1

Add '-8' to each side of the equation.
8 + -8 + 9w = -1 + -8

Combine like terms: 8 + -8 = 0
0 + 9w = -1 + -8
9w = -1 + -8

Combine like terms: -1 + -8 = -9
9w = -9

Divide each side by '9'.
w = -1

Simplifying
w = -1

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