10w-90+2w+78=180

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Solution for 10w-90+2w+78=180 equation:


Simplifying
10w + -90 + 2w + 78 = 180

Reorder the terms:
-90 + 78 + 10w + 2w = 180

Combine like terms: -90 + 78 = -12
-12 + 10w + 2w = 180

Combine like terms: 10w + 2w = 12w
-12 + 12w = 180

Solving
-12 + 12w = 180

Solving for variable 'w'.

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

Add '12' to each side of the equation.
-12 + 12 + 12w = 180 + 12

Combine like terms: -12 + 12 = 0
0 + 12w = 180 + 12
12w = 180 + 12

Combine like terms: 180 + 12 = 192
12w = 192

Divide each side by '12'.
w = 16

Simplifying
w = 16

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