-6(w-4)-(6-8w)=w

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Solution for -6(w-4)-(6-8w)=w equation:


Simplifying
-6(w + -4) + -1(6 + -8w) = w

Reorder the terms:
-6(-4 + w) + -1(6 + -8w) = w
(-4 * -6 + w * -6) + -1(6 + -8w) = w
(24 + -6w) + -1(6 + -8w) = w
24 + -6w + (6 * -1 + -8w * -1) = w
24 + -6w + (-6 + 8w) = w

Reorder the terms:
24 + -6 + -6w + 8w = w

Combine like terms: 24 + -6 = 18
18 + -6w + 8w = w

Combine like terms: -6w + 8w = 2w
18 + 2w = w

Solving
18 + 2w = 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.
18 + 2w + -1w = w + -1w

Combine like terms: 2w + -1w = 1w
18 + 1w = w + -1w

Combine like terms: w + -1w = 0
18 + 1w = 0

Add '-18' to each side of the equation.
18 + -18 + 1w = 0 + -18

Combine like terms: 18 + -18 = 0
0 + 1w = 0 + -18
1w = 0 + -18

Combine like terms: 0 + -18 = -18
1w = -18

Divide each side by '1'.
w = -18

Simplifying
w = -18

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