3(w-6)-8=-2(-2w+6)-9w

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Solution for 3(w-6)-8=-2(-2w+6)-9w equation:


Simplifying
3(w + -6) + -8 = -2(-2w + 6) + -9w

Reorder the terms:
3(-6 + w) + -8 = -2(-2w + 6) + -9w
(-6 * 3 + w * 3) + -8 = -2(-2w + 6) + -9w
(-18 + 3w) + -8 = -2(-2w + 6) + -9w

Reorder the terms:
-18 + -8 + 3w = -2(-2w + 6) + -9w

Combine like terms: -18 + -8 = -26
-26 + 3w = -2(-2w + 6) + -9w

Reorder the terms:
-26 + 3w = -2(6 + -2w) + -9w
-26 + 3w = (6 * -2 + -2w * -2) + -9w
-26 + 3w = (-12 + 4w) + -9w

Combine like terms: 4w + -9w = -5w
-26 + 3w = -12 + -5w

Solving
-26 + 3w = -12 + -5w

Solving for variable 'w'.

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

Add '5w' to each side of the equation.
-26 + 3w + 5w = -12 + -5w + 5w

Combine like terms: 3w + 5w = 8w
-26 + 8w = -12 + -5w + 5w

Combine like terms: -5w + 5w = 0
-26 + 8w = -12 + 0
-26 + 8w = -12

Add '26' to each side of the equation.
-26 + 26 + 8w = -12 + 26

Combine like terms: -26 + 26 = 0
0 + 8w = -12 + 26
8w = -12 + 26

Combine like terms: -12 + 26 = 14
8w = 14

Divide each side by '8'.
w = 1.75

Simplifying
w = 1.75

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