3(w-6)-6=-5(-4w-6)-3w

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


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

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

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

Combine like terms: -18 + -6 = -24
-24 + 3w = -5(-4w + -6) + -3w

Reorder the terms:
-24 + 3w = -5(-6 + -4w) + -3w
-24 + 3w = (-6 * -5 + -4w * -5) + -3w
-24 + 3w = (30 + 20w) + -3w

Combine like terms: 20w + -3w = 17w
-24 + 3w = 30 + 17w

Solving
-24 + 3w = 30 + 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.
-24 + 3w + -17w = 30 + 17w + -17w

Combine like terms: 3w + -17w = -14w
-24 + -14w = 30 + 17w + -17w

Combine like terms: 17w + -17w = 0
-24 + -14w = 30 + 0
-24 + -14w = 30

Add '24' to each side of the equation.
-24 + 24 + -14w = 30 + 24

Combine like terms: -24 + 24 = 0
0 + -14w = 30 + 24
-14w = 30 + 24

Combine like terms: 30 + 24 = 54
-14w = 54

Divide each side by '-14'.
w = -3.857142857

Simplifying
w = -3.857142857

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