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

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Solution for 2(w-6)-6=-3(-5w+1)-3w equation:


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

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

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

Combine like terms: -12 + -6 = -18
-18 + 2w = -3(-5w + 1) + -3w

Reorder the terms:
-18 + 2w = -3(1 + -5w) + -3w
-18 + 2w = (1 * -3 + -5w * -3) + -3w
-18 + 2w = (-3 + 15w) + -3w

Combine like terms: 15w + -3w = 12w
-18 + 2w = -3 + 12w

Solving
-18 + 2w = -3 + 12w

Solving for variable 'w'.

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

Add '-12w' to each side of the equation.
-18 + 2w + -12w = -3 + 12w + -12w

Combine like terms: 2w + -12w = -10w
-18 + -10w = -3 + 12w + -12w

Combine like terms: 12w + -12w = 0
-18 + -10w = -3 + 0
-18 + -10w = -3

Add '18' to each side of the equation.
-18 + 18 + -10w = -3 + 18

Combine like terms: -18 + 18 = 0
0 + -10w = -3 + 18
-10w = -3 + 18

Combine like terms: -3 + 18 = 15
-10w = 15

Divide each side by '-10'.
w = -1.5

Simplifying
w = -1.5

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