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

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


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

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

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

Combine like terms: -5 + -5 = -10
-10 + 5w = -3(-4w + 4) + -1w

Reorder the terms:
-10 + 5w = -3(4 + -4w) + -1w
-10 + 5w = (4 * -3 + -4w * -3) + -1w
-10 + 5w = (-12 + 12w) + -1w

Combine like terms: 12w + -1w = 11w
-10 + 5w = -12 + 11w

Solving
-10 + 5w = -12 + 11w

Solving for variable 'w'.

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

Add '-11w' to each side of the equation.
-10 + 5w + -11w = -12 + 11w + -11w

Combine like terms: 5w + -11w = -6w
-10 + -6w = -12 + 11w + -11w

Combine like terms: 11w + -11w = 0
-10 + -6w = -12 + 0
-10 + -6w = -12

Add '10' to each side of the equation.
-10 + 10 + -6w = -12 + 10

Combine like terms: -10 + 10 = 0
0 + -6w = -12 + 10
-6w = -12 + 10

Combine like terms: -12 + 10 = -2
-6w = -2

Divide each side by '-6'.
w = 0.3333333333

Simplifying
w = 0.3333333333

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