(5n+15)+(2n+11)=180

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Solution for (5n+15)+(2n+11)=180 equation:


Simplifying
(5n + 15) + (2n + 11) = 180

Reorder the terms:
(15 + 5n) + (2n + 11) = 180

Remove parenthesis around (15 + 5n)
15 + 5n + (2n + 11) = 180

Reorder the terms:
15 + 5n + (11 + 2n) = 180

Remove parenthesis around (11 + 2n)
15 + 5n + 11 + 2n = 180

Reorder the terms:
15 + 11 + 5n + 2n = 180

Combine like terms: 15 + 11 = 26
26 + 5n + 2n = 180

Combine like terms: 5n + 2n = 7n
26 + 7n = 180

Solving
26 + 7n = 180

Solving for variable 'n'.

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

Add '-26' to each side of the equation.
26 + -26 + 7n = 180 + -26

Combine like terms: 26 + -26 = 0
0 + 7n = 180 + -26
7n = 180 + -26

Combine like terms: 180 + -26 = 154
7n = 154

Divide each side by '7'.
n = 22

Simplifying
n = 22

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