(5n+15)+(4n+21)=180

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Solution for (5n+15)+(4n+21)=180 equation:


Simplifying
(5n + 15) + (4n + 21) = 180

Reorder the terms:
(15 + 5n) + (4n + 21) = 180

Remove parenthesis around (15 + 5n)
15 + 5n + (4n + 21) = 180

Reorder the terms:
15 + 5n + (21 + 4n) = 180

Remove parenthesis around (21 + 4n)
15 + 5n + 21 + 4n = 180

Reorder the terms:
15 + 21 + 5n + 4n = 180

Combine like terms: 15 + 21 = 36
36 + 5n + 4n = 180

Combine like terms: 5n + 4n = 9n
36 + 9n = 180

Solving
36 + 9n = 180

Solving for variable 'n'.

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

Add '-36' to each side of the equation.
36 + -36 + 9n = 180 + -36

Combine like terms: 36 + -36 = 0
0 + 9n = 180 + -36
9n = 180 + -36

Combine like terms: 180 + -36 = 144
9n = 144

Divide each side by '9'.
n = 16

Simplifying
n = 16

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