(N-2)*180=N*171

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Solution for (N-2)*180=N*171 equation: 


Simplifying
(N + -2) * 180 = N * 171

Reorder the terms:
(-2 + N) * 180 = N * 171

Reorder the terms for easier multiplication:
180(-2 + N) = N * 171
(-2 * 180 + N * 180) = N * 171
(-360 + 180N) = N * 171

Reorder the terms for easier multiplication:
-360 + 180N = 171N

Solving
-360 + 180N = 171N

Solving for variable 'N'.

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

Add '-171N' to each side of the equation.
-360 + 180N + -171N = 171N + -171N

Combine like terms: 180N + -171N = 9N
-360 + 9N = 171N + -171N

Combine like terms: 171N + -171N = 0
-360 + 9N = 0

Add '360' to each side of the equation.
-360 + 360 + 9N = 0 + 360

Combine like terms: -360 + 360 = 0
0 + 9N = 0 + 360
9N = 0 + 360

Combine like terms: 0 + 360 = 360
9N = 360

Divide each side by '9'.
N = 40

Simplifying
N = 40

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