-4(-6w+4)-3w=5(w-4)-6

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Solution for -4(-6w+4)-3w=5(w-4)-6 equation: 


Simplifying
-4(-6w + 4) + -3w = 5(w + -4) + -6

Reorder the terms:
-4(4 + -6w) + -3w = 5(w + -4) + -6
(4 * -4 + -6w * -4) + -3w = 5(w + -4) + -6
(-16 + 24w) + -3w = 5(w + -4) + -6

Combine like terms: 24w + -3w = 21w
-16 + 21w = 5(w + -4) + -6

Reorder the terms:
-16 + 21w = 5(-4 + w) + -6
-16 + 21w = (-4 * 5 + w * 5) + -6
-16 + 21w = (-20 + 5w) + -6

Reorder the terms:
-16 + 21w = -20 + -6 + 5w

Combine like terms: -20 + -6 = -26
-16 + 21w = -26 + 5w

Solving
-16 + 21w = -26 + 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.
-16 + 21w + -5w = -26 + 5w + -5w

Combine like terms: 21w + -5w = 16w
-16 + 16w = -26 + 5w + -5w

Combine like terms: 5w + -5w = 0
-16 + 16w = -26 + 0
-16 + 16w = -26

Add '16' to each side of the equation.
-16 + 16 + 16w = -26 + 16

Combine like terms: -16 + 16 = 0
0 + 16w = -26 + 16
16w = -26 + 16

Combine like terms: -26 + 16 = -10
16w = -10

Divide each side by '16'.
w = -0.625

Simplifying
w = -0.625

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