-3(-7w+8)-w=4(w-3)-2

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Solution for -3(-7w+8)-w=4(w-3)-2 equation: 


Simplifying
-3(-7w + 8) + -1w = 4(w + -3) + -2

Reorder the terms:
-3(8 + -7w) + -1w = 4(w + -3) + -2
(8 * -3 + -7w * -3) + -1w = 4(w + -3) + -2
(-24 + 21w) + -1w = 4(w + -3) + -2

Combine like terms: 21w + -1w = 20w
-24 + 20w = 4(w + -3) + -2

Reorder the terms:
-24 + 20w = 4(-3 + w) + -2
-24 + 20w = (-3 * 4 + w * 4) + -2
-24 + 20w = (-12 + 4w) + -2

Reorder the terms:
-24 + 20w = -12 + -2 + 4w

Combine like terms: -12 + -2 = -14
-24 + 20w = -14 + 4w

Solving
-24 + 20w = -14 + 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.
-24 + 20w + -4w = -14 + 4w + -4w

Combine like terms: 20w + -4w = 16w
-24 + 16w = -14 + 4w + -4w

Combine like terms: 4w + -4w = 0
-24 + 16w = -14 + 0
-24 + 16w = -14

Add '24' to each side of the equation.
-24 + 24 + 16w = -14 + 24

Combine like terms: -24 + 24 = 0
0 + 16w = -14 + 24
16w = -14 + 24

Combine like terms: -14 + 24 = 10
16w = 10

Divide each side by '16'.
w = 0.625

Simplifying
w = 0.625

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