5(w-2)-8=-4(-6w+6)-3w

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Solution for 5(w-2)-8=-4(-6w+6)-3w equation:


Simplifying
5(w + -2) + -8 = -4(-6w + 6) + -3w

Reorder the terms:
5(-2 + w) + -8 = -4(-6w + 6) + -3w
(-2 * 5 + w * 5) + -8 = -4(-6w + 6) + -3w
(-10 + 5w) + -8 = -4(-6w + 6) + -3w

Reorder the terms:
-10 + -8 + 5w = -4(-6w + 6) + -3w

Combine like terms: -10 + -8 = -18
-18 + 5w = -4(-6w + 6) + -3w

Reorder the terms:
-18 + 5w = -4(6 + -6w) + -3w
-18 + 5w = (6 * -4 + -6w * -4) + -3w
-18 + 5w = (-24 + 24w) + -3w

Combine like terms: 24w + -3w = 21w
-18 + 5w = -24 + 21w

Solving
-18 + 5w = -24 + 21w

Solving for variable 'w'.

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

Add '-21w' to each side of the equation.
-18 + 5w + -21w = -24 + 21w + -21w

Combine like terms: 5w + -21w = -16w
-18 + -16w = -24 + 21w + -21w

Combine like terms: 21w + -21w = 0
-18 + -16w = -24 + 0
-18 + -16w = -24

Add '18' to each side of the equation.
-18 + 18 + -16w = -24 + 18

Combine like terms: -18 + 18 = 0
0 + -16w = -24 + 18
-16w = -24 + 18

Combine like terms: -24 + 18 = -6
-16w = -6

Divide each side by '-16'.
w = 0.375

Simplifying
w = 0.375

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