-5(-5w+4)-9w=4(w-6)-6

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Solution for -5(-5w+4)-9w=4(w-6)-6 equation:


Simplifying
-5(-5w + 4) + -9w = 4(w + -6) + -6

Reorder the terms:
-5(4 + -5w) + -9w = 4(w + -6) + -6
(4 * -5 + -5w * -5) + -9w = 4(w + -6) + -6
(-20 + 25w) + -9w = 4(w + -6) + -6

Combine like terms: 25w + -9w = 16w
-20 + 16w = 4(w + -6) + -6

Reorder the terms:
-20 + 16w = 4(-6 + w) + -6
-20 + 16w = (-6 * 4 + w * 4) + -6
-20 + 16w = (-24 + 4w) + -6

Reorder the terms:
-20 + 16w = -24 + -6 + 4w

Combine like terms: -24 + -6 = -30
-20 + 16w = -30 + 4w

Solving
-20 + 16w = -30 + 4w

Solving for variable 'w'.

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

Add '-4w' to each side of the equation.
-20 + 16w + -4w = -30 + 4w + -4w

Combine like terms: 16w + -4w = 12w
-20 + 12w = -30 + 4w + -4w

Combine like terms: 4w + -4w = 0
-20 + 12w = -30 + 0
-20 + 12w = -30

Add '20' to each side of the equation.
-20 + 20 + 12w = -30 + 20

Combine like terms: -20 + 20 = 0
0 + 12w = -30 + 20
12w = -30 + 20

Combine like terms: -30 + 20 = -10
12w = -10

Divide each side by '12'.
w = -0.8333333333

Simplifying
w = -0.8333333333

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