-3(-8w+4)-6w=3(w-6)-4

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Solution for -3(-8w+4)-6w=3(w-6)-4 equation: 


Simplifying
-3(-8w + 4) + -6w = 3(w + -6) + -4

Reorder the terms:
-3(4 + -8w) + -6w = 3(w + -6) + -4
(4 * -3 + -8w * -3) + -6w = 3(w + -6) + -4
(-12 + 24w) + -6w = 3(w + -6) + -4

Combine like terms: 24w + -6w = 18w
-12 + 18w = 3(w + -6) + -4

Reorder the terms:
-12 + 18w = 3(-6 + w) + -4
-12 + 18w = (-6 * 3 + w * 3) + -4
-12 + 18w = (-18 + 3w) + -4

Reorder the terms:
-12 + 18w = -18 + -4 + 3w

Combine like terms: -18 + -4 = -22
-12 + 18w = -22 + 3w

Solving
-12 + 18w = -22 + 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.
-12 + 18w + -3w = -22 + 3w + -3w

Combine like terms: 18w + -3w = 15w
-12 + 15w = -22 + 3w + -3w

Combine like terms: 3w + -3w = 0
-12 + 15w = -22 + 0
-12 + 15w = -22

Add '12' to each side of the equation.
-12 + 12 + 15w = -22 + 12

Combine like terms: -12 + 12 = 0
0 + 15w = -22 + 12
15w = -22 + 12

Combine like terms: -22 + 12 = -10
15w = -10

Divide each side by '15'.
w = -0.6666666667

Simplifying
w = -0.6666666667

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