-4(-6w+6)-w=5(w-5)-8

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Solution for -4(-6w+6)-w=5(w-5)-8 equation:


Simplifying
-4(-6w + 6) + -1w = 5(w + -5) + -8

Reorder the terms:
-4(6 + -6w) + -1w = 5(w + -5) + -8
(6 * -4 + -6w * -4) + -1w = 5(w + -5) + -8
(-24 + 24w) + -1w = 5(w + -5) + -8

Combine like terms: 24w + -1w = 23w
-24 + 23w = 5(w + -5) + -8

Reorder the terms:
-24 + 23w = 5(-5 + w) + -8
-24 + 23w = (-5 * 5 + w * 5) + -8
-24 + 23w = (-25 + 5w) + -8

Reorder the terms:
-24 + 23w = -25 + -8 + 5w

Combine like terms: -25 + -8 = -33
-24 + 23w = -33 + 5w

Solving
-24 + 23w = -33 + 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.
-24 + 23w + -5w = -33 + 5w + -5w

Combine like terms: 23w + -5w = 18w
-24 + 18w = -33 + 5w + -5w

Combine like terms: 5w + -5w = 0
-24 + 18w = -33 + 0
-24 + 18w = -33

Add '24' to each side of the equation.
-24 + 24 + 18w = -33 + 24

Combine like terms: -24 + 24 = 0
0 + 18w = -33 + 24
18w = -33 + 24

Combine like terms: -33 + 24 = -9
18w = -9

Divide each side by '18'.
w = -0.5

Simplifying
w = -0.5

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