4(w-3)-8=-5(-5w+1)-9w

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Solution for 4(w-3)-8=-5(-5w+1)-9w equation: 


Simplifying
4(w + -3) + -8 = -5(-5w + 1) + -9w

Reorder the terms:
4(-3 + w) + -8 = -5(-5w + 1) + -9w
(-3 * 4 + w * 4) + -8 = -5(-5w + 1) + -9w
(-12 + 4w) + -8 = -5(-5w + 1) + -9w

Reorder the terms:
-12 + -8 + 4w = -5(-5w + 1) + -9w

Combine like terms: -12 + -8 = -20
-20 + 4w = -5(-5w + 1) + -9w

Reorder the terms:
-20 + 4w = -5(1 + -5w) + -9w
-20 + 4w = (1 * -5 + -5w * -5) + -9w
-20 + 4w = (-5 + 25w) + -9w

Combine like terms: 25w + -9w = 16w
-20 + 4w = -5 + 16w

Solving
-20 + 4w = -5 + 16w

Solving for variable 'w'.

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

Add '-16w' to each side of the equation.
-20 + 4w + -16w = -5 + 16w + -16w

Combine like terms: 4w + -16w = -12w
-20 + -12w = -5 + 16w + -16w

Combine like terms: 16w + -16w = 0
-20 + -12w = -5 + 0
-20 + -12w = -5

Add '20' to each side of the equation.
-20 + 20 + -12w = -5 + 20

Combine like terms: -20 + 20 = 0
0 + -12w = -5 + 20
-12w = -5 + 20

Combine like terms: -5 + 20 = 15
-12w = 15

Divide each side by '-12'.
w = -1.25

Simplifying
w = -1.25

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