9w-12=5(w-8)

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Solution for 9w-12=5(w-8) equation:


Simplifying
9w + -12 = 5(w + -8)

Reorder the terms:
-12 + 9w = 5(w + -8)

Reorder the terms:
-12 + 9w = 5(-8 + w)
-12 + 9w = (-8 * 5 + w * 5)
-12 + 9w = (-40 + 5w)

Solving
-12 + 9w = -40 + 5w

Solving for variable 'w'.

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

Add '-5w' to each side of the equation.
-12 + 9w + -5w = -40 + 5w + -5w

Combine like terms: 9w + -5w = 4w
-12 + 4w = -40 + 5w + -5w

Combine like terms: 5w + -5w = 0
-12 + 4w = -40 + 0
-12 + 4w = -40

Add '12' to each side of the equation.
-12 + 12 + 4w = -40 + 12

Combine like terms: -12 + 12 = 0
0 + 4w = -40 + 12
4w = -40 + 12

Combine like terms: -40 + 12 = -28
4w = -28

Divide each side by '4'.
w = -7

Simplifying
w = -7

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