-4(-4w+2)-3w=3(w-3)-5

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Solution for -4(-4w+2)-3w=3(w-3)-5 equation: 


Simplifying
-4(-4w + 2) + -3w = 3(w + -3) + -5

Reorder the terms:
-4(2 + -4w) + -3w = 3(w + -3) + -5
(2 * -4 + -4w * -4) + -3w = 3(w + -3) + -5
(-8 + 16w) + -3w = 3(w + -3) + -5

Combine like terms: 16w + -3w = 13w
-8 + 13w = 3(w + -3) + -5

Reorder the terms:
-8 + 13w = 3(-3 + w) + -5
-8 + 13w = (-3 * 3 + w * 3) + -5
-8 + 13w = (-9 + 3w) + -5

Reorder the terms:
-8 + 13w = -9 + -5 + 3w

Combine like terms: -9 + -5 = -14
-8 + 13w = -14 + 3w

Solving
-8 + 13w = -14 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
-8 + 13w + -3w = -14 + 3w + -3w

Combine like terms: 13w + -3w = 10w
-8 + 10w = -14 + 3w + -3w

Combine like terms: 3w + -3w = 0
-8 + 10w = -14 + 0
-8 + 10w = -14

Add '8' to each side of the equation.
-8 + 8 + 10w = -14 + 8

Combine like terms: -8 + 8 = 0
0 + 10w = -14 + 8
10w = -14 + 8

Combine like terms: -14 + 8 = -6
10w = -6

Divide each side by '10'.
w = -0.6

Simplifying
w = -0.6

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