-6(-3w+5)-6w=3(w-8)-9

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Solution for -6(-3w+5)-6w=3(w-8)-9 equation:


Simplifying
-6(-3w + 5) + -6w = 3(w + -8) + -9

Reorder the terms:
-6(5 + -3w) + -6w = 3(w + -8) + -9
(5 * -6 + -3w * -6) + -6w = 3(w + -8) + -9
(-30 + 18w) + -6w = 3(w + -8) + -9

Combine like terms: 18w + -6w = 12w
-30 + 12w = 3(w + -8) + -9

Reorder the terms:
-30 + 12w = 3(-8 + w) + -9
-30 + 12w = (-8 * 3 + w * 3) + -9
-30 + 12w = (-24 + 3w) + -9

Reorder the terms:
-30 + 12w = -24 + -9 + 3w

Combine like terms: -24 + -9 = -33
-30 + 12w = -33 + 3w

Solving
-30 + 12w = -33 + 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.
-30 + 12w + -3w = -33 + 3w + -3w

Combine like terms: 12w + -3w = 9w
-30 + 9w = -33 + 3w + -3w

Combine like terms: 3w + -3w = 0
-30 + 9w = -33 + 0
-30 + 9w = -33

Add '30' to each side of the equation.
-30 + 30 + 9w = -33 + 30

Combine like terms: -30 + 30 = 0
0 + 9w = -33 + 30
9w = -33 + 30

Combine like terms: -33 + 30 = -3
9w = -3

Divide each side by '9'.
w = -0.3333333333

Simplifying
w = -0.3333333333

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