900=(n-2)*180

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Solution for 900=(n-2)*180 equation:


Simplifying
900 = (n + -2) * 180

Reorder the terms:
900 = (-2 + n) * 180

Reorder the terms for easier multiplication:
900 = 180(-2 + n)
900 = (-2 * 180 + n * 180)
900 = (-360 + 180n)

Solving
900 = -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.
900 + -180n = -360 + 180n + -180n

Combine like terms: 180n + -180n = 0
900 + -180n = -360 + 0
900 + -180n = -360

Add '-900' to each side of the equation.
900 + -900 + -180n = -360 + -900

Combine like terms: 900 + -900 = 0
0 + -180n = -360 + -900
-180n = -360 + -900

Combine like terms: -360 + -900 = -1260
-180n = -1260

Divide each side by '-180'.
n = 7

Simplifying
n = 7

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