6n+(6n-9)+6n+3n=180

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Solution for 6n+(6n-9)+6n+3n=180 equation:


Simplifying
6n + (6n + -9) + 6n + 3n = 180

Reorder the terms:
6n + (-9 + 6n) + 6n + 3n = 180

Remove parenthesis around (-9 + 6n)
6n + -9 + 6n + 6n + 3n = 180

Reorder the terms:
-9 + 6n + 6n + 6n + 3n = 180

Combine like terms: 6n + 6n = 12n
-9 + 12n + 6n + 3n = 180

Combine like terms: 12n + 6n = 18n
-9 + 18n + 3n = 180

Combine like terms: 18n + 3n = 21n
-9 + 21n = 180

Solving
-9 + 21n = 180

Solving for variable 'n'.

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

Add '9' to each side of the equation.
-9 + 9 + 21n = 180 + 9

Combine like terms: -9 + 9 = 0
0 + 21n = 180 + 9
21n = 180 + 9

Combine like terms: 180 + 9 = 189
21n = 189

Divide each side by '21'.
n = 9

Simplifying
n = 9

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