165=(n-2)*180

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Solution for 165=(n-2)*180 equation:


Simplifying
165 = (n + -2) * 180

Reorder the terms:
165 = (-2 + n) * 180

Reorder the terms for easier multiplication:
165 = 180(-2 + n)
165 = (-2 * 180 + n * 180)
165 = (-360 + 180n)

Solving
165 = -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.
165 + -180n = -360 + 180n + -180n

Combine like terms: 180n + -180n = 0
165 + -180n = -360 + 0
165 + -180n = -360

Add '-165' to each side of the equation.
165 + -165 + -180n = -360 + -165

Combine like terms: 165 + -165 = 0
0 + -180n = -360 + -165
-180n = -360 + -165

Combine like terms: -360 + -165 = -525
-180n = -525

Divide each side by '-180'.
n = 2.916666667

Simplifying
n = 2.916666667

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