(180-n)=10(90-n)+9

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Solution for (180-n)=10(90-n)+9 equation:


Simplifying
(180 + -1n) = 10(90 + -1n) + 9

Remove parenthesis around (180 + -1n)
180 + -1n = 10(90 + -1n) + 9
180 + -1n = (90 * 10 + -1n * 10) + 9
180 + -1n = (900 + -10n) + 9

Reorder the terms:
180 + -1n = 900 + 9 + -10n

Combine like terms: 900 + 9 = 909
180 + -1n = 909 + -10n

Solving
180 + -1n = 909 + -10n

Solving for variable 'n'.

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

Add '10n' to each side of the equation.
180 + -1n + 10n = 909 + -10n + 10n

Combine like terms: -1n + 10n = 9n
180 + 9n = 909 + -10n + 10n

Combine like terms: -10n + 10n = 0
180 + 9n = 909 + 0
180 + 9n = 909

Add '-180' to each side of the equation.
180 + -180 + 9n = 909 + -180

Combine like terms: 180 + -180 = 0
0 + 9n = 909 + -180
9n = 909 + -180

Combine like terms: 909 + -180 = 729
9n = 729

Divide each side by '9'.
n = 81

Simplifying
n = 81

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