-2(w-6)-(5-6w)=3w

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Solution for -2(w-6)-(5-6w)=3w equation:


Simplifying
-2(w + -6) + -1(5 + -6w) = 3w

Reorder the terms:
-2(-6 + w) + -1(5 + -6w) = 3w
(-6 * -2 + w * -2) + -1(5 + -6w) = 3w
(12 + -2w) + -1(5 + -6w) = 3w
12 + -2w + (5 * -1 + -6w * -1) = 3w
12 + -2w + (-5 + 6w) = 3w

Reorder the terms:
12 + -5 + -2w + 6w = 3w

Combine like terms: 12 + -5 = 7
7 + -2w + 6w = 3w

Combine like terms: -2w + 6w = 4w
7 + 4w = 3w

Solving
7 + 4w = 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
7 + 4w + -3w = 3w + -3w

Combine like terms: 4w + -3w = 1w
7 + 1w = 3w + -3w

Combine like terms: 3w + -3w = 0
7 + 1w = 0

Add '-7' to each side of the equation.
7 + -7 + 1w = 0 + -7

Combine like terms: 7 + -7 = 0
0 + 1w = 0 + -7
1w = 0 + -7

Combine like terms: 0 + -7 = -7
1w = -7

Divide each side by '1'.
w = -7

Simplifying
w = -7

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