7w+16=9w-8

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Solution for 7w+16=9w-8 equation:


Simplifying
7w + 16 = 9w + -8

Reorder the terms:
16 + 7w = 9w + -8

Reorder the terms:
16 + 7w = -8 + 9w

Solving
16 + 7w = -8 + 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 + 7w + -9w = -8 + 9w + -9w

Combine like terms: 7w + -9w = -2w
16 + -2w = -8 + 9w + -9w

Combine like terms: 9w + -9w = 0
16 + -2w = -8 + 0
16 + -2w = -8

Add '-16' to each side of the equation.
16 + -16 + -2w = -8 + -16

Combine like terms: 16 + -16 = 0
0 + -2w = -8 + -16
-2w = -8 + -16

Combine like terms: -8 + -16 = -24
-2w = -24

Divide each side by '-2'.
w = 12

Simplifying
w = 12

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