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

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


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

Reorder the terms:
3(-6 + w) + -6 = -6(-3w + 2) + -6w
(-6 * 3 + w * 3) + -6 = -6(-3w + 2) + -6w
(-18 + 3w) + -6 = -6(-3w + 2) + -6w

Reorder the terms:
-18 + -6 + 3w = -6(-3w + 2) + -6w

Combine like terms: -18 + -6 = -24
-24 + 3w = -6(-3w + 2) + -6w

Reorder the terms:
-24 + 3w = -6(2 + -3w) + -6w
-24 + 3w = (2 * -6 + -3w * -6) + -6w
-24 + 3w = (-12 + 18w) + -6w

Combine like terms: 18w + -6w = 12w
-24 + 3w = -12 + 12w

Solving
-24 + 3w = -12 + 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.
-24 + 3w + -12w = -12 + 12w + -12w

Combine like terms: 3w + -12w = -9w
-24 + -9w = -12 + 12w + -12w

Combine like terms: 12w + -12w = 0
-24 + -9w = -12 + 0
-24 + -9w = -12

Add '24' to each side of the equation.
-24 + 24 + -9w = -12 + 24

Combine like terms: -24 + 24 = 0
0 + -9w = -12 + 24
-9w = -12 + 24

Combine like terms: -12 + 24 = 12
-9w = 12

Divide each side by '-9'.
w = -1.333333333

Simplifying
w = -1.333333333

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