171n=(n-2)*180

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


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

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

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

Solving
171n = -360 + 180n

Solving for variable 'n'.

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

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

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

Combine like terms: 180n + -180n = 0
-9n = -360 + 0
-9n = -360

Divide each side by '-9'.
n = 40

Simplifying
n = 40

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