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

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


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

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

Combine like terms: 20w + -6w = 14w
-20 + 14w = 6(w + -2) + -6

Reorder the terms:
-20 + 14w = 6(-2 + w) + -6
-20 + 14w = (-2 * 6 + w * 6) + -6
-20 + 14w = (-12 + 6w) + -6

Reorder the terms:
-20 + 14w = -12 + -6 + 6w

Combine like terms: -12 + -6 = -18
-20 + 14w = -18 + 6w

Solving
-20 + 14w = -18 + 6w

Solving for variable 'w'.

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

Add '-6w' to each side of the equation.
-20 + 14w + -6w = -18 + 6w + -6w

Combine like terms: 14w + -6w = 8w
-20 + 8w = -18 + 6w + -6w

Combine like terms: 6w + -6w = 0
-20 + 8w = -18 + 0
-20 + 8w = -18

Add '20' to each side of the equation.
-20 + 20 + 8w = -18 + 20

Combine like terms: -20 + 20 = 0
0 + 8w = -18 + 20
8w = -18 + 20

Combine like terms: -18 + 20 = 2
8w = 2

Divide each side by '8'.
w = 0.25

Simplifying
w = 0.25

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