-4(-4w+5)=5(w-6)-2

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Solution for -4(-4w+5)=5(w-6)-2 equation: 


Simplifying
-4(-4w + 5) = 5(w + -6) + -2

Reorder the terms:
-4(5 + -4w) = 5(w + -6) + -2
(5 * -4 + -4w * -4) = 5(w + -6) + -2
(-20 + 16w) = 5(w + -6) + -2

Reorder the terms:
-20 + 16w = 5(-6 + w) + -2
-20 + 16w = (-6 * 5 + w * 5) + -2
-20 + 16w = (-30 + 5w) + -2

Reorder the terms:
-20 + 16w = -30 + -2 + 5w

Combine like terms: -30 + -2 = -32
-20 + 16w = -32 + 5w

Solving
-20 + 16w = -32 + 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.
-20 + 16w + -5w = -32 + 5w + -5w

Combine like terms: 16w + -5w = 11w
-20 + 11w = -32 + 5w + -5w

Combine like terms: 5w + -5w = 0
-20 + 11w = -32 + 0
-20 + 11w = -32

Add '20' to each side of the equation.
-20 + 20 + 11w = -32 + 20

Combine like terms: -20 + 20 = 0
0 + 11w = -32 + 20
11w = -32 + 20

Combine like terms: -32 + 20 = -12
11w = -12

Divide each side by '11'.
w = -1.090909091

Simplifying
w = -1.090909091

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