5w+9-9w=2(w-6)+w

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Solution for 5w+9-9w=2(w-6)+w equation:


Simplifying
5w + 9 + -9w = 2(w + -6) + w

Reorder the terms:
9 + 5w + -9w = 2(w + -6) + w

Combine like terms: 5w + -9w = -4w
9 + -4w = 2(w + -6) + w

Reorder the terms:
9 + -4w = 2(-6 + w) + w
9 + -4w = (-6 * 2 + w * 2) + w
9 + -4w = (-12 + 2w) + w

Combine like terms: 2w + w = 3w
9 + -4w = -12 + 3w

Solving
9 + -4w = -12 + 3w

Solving for variable 'w'.

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

Add '-3w' to each side of the equation.
9 + -4w + -3w = -12 + 3w + -3w

Combine like terms: -4w + -3w = -7w
9 + -7w = -12 + 3w + -3w

Combine like terms: 3w + -3w = 0
9 + -7w = -12 + 0
9 + -7w = -12

Add '-9' to each side of the equation.
9 + -9 + -7w = -12 + -9

Combine like terms: 9 + -9 = 0
0 + -7w = -12 + -9
-7w = -12 + -9

Combine like terms: -12 + -9 = -21
-7w = -21

Divide each side by '-7'.
w = 3

Simplifying
w = 3

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