(15n-22)+(6n+13)=180

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Solution for (15n-22)+(6n+13)=180 equation:


Simplifying
(15n + -22) + (6n + 13) = 180

Reorder the terms:
(-22 + 15n) + (6n + 13) = 180

Remove parenthesis around (-22 + 15n)
-22 + 15n + (6n + 13) = 180

Reorder the terms:
-22 + 15n + (13 + 6n) = 180

Remove parenthesis around (13 + 6n)
-22 + 15n + 13 + 6n = 180

Reorder the terms:
-22 + 13 + 15n + 6n = 180

Combine like terms: -22 + 13 = -9
-9 + 15n + 6n = 180

Combine like terms: 15n + 6n = 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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