5w+16=9w-12

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Solution for 5w+16=9w-12 equation:


Simplifying
5w + 16 = 9w + -12

Reorder the terms:
16 + 5w = 9w + -12

Reorder the terms:
16 + 5w = -12 + 9w

Solving
16 + 5w = -12 + 9w

Solving for variable 'w'.

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

Add '-9w' to each side of the equation.
16 + 5w + -9w = -12 + 9w + -9w

Combine like terms: 5w + -9w = -4w
16 + -4w = -12 + 9w + -9w

Combine like terms: 9w + -9w = 0
16 + -4w = -12 + 0
16 + -4w = -12

Add '-16' to each side of the equation.
16 + -16 + -4w = -12 + -16

Combine like terms: 16 + -16 = 0
0 + -4w = -12 + -16
-4w = -12 + -16

Combine like terms: -12 + -16 = -28
-4w = -28

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

Simplifying
w = 7

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