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

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


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

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

Reorder the terms:
-5 + -3 + 5w = -5(-4w + 1) + -3w

Combine like terms: -5 + -3 = -8
-8 + 5w = -5(-4w + 1) + -3w

Reorder the terms:
-8 + 5w = -5(1 + -4w) + -3w
-8 + 5w = (1 * -5 + -4w * -5) + -3w
-8 + 5w = (-5 + 20w) + -3w

Combine like terms: 20w + -3w = 17w
-8 + 5w = -5 + 17w

Solving
-8 + 5w = -5 + 17w

Solving for variable 'w'.

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

Add '-17w' to each side of the equation.
-8 + 5w + -17w = -5 + 17w + -17w

Combine like terms: 5w + -17w = -12w
-8 + -12w = -5 + 17w + -17w

Combine like terms: 17w + -17w = 0
-8 + -12w = -5 + 0
-8 + -12w = -5

Add '8' to each side of the equation.
-8 + 8 + -12w = -5 + 8

Combine like terms: -8 + 8 = 0
0 + -12w = -5 + 8
-12w = -5 + 8

Combine like terms: -5 + 8 = 3
-12w = 3

Divide each side by '-12'.
w = -0.25

Simplifying
w = -0.25

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