(2n+19)+(5n+14)=180

Solution for (2n+19)+(5n+14)=180 equation:

Simplifying
(2n + 19) + (5n + 14) = 180

Reorder the terms:
(19 + 2n) + (5n + 14) = 180

Remove parenthesis around (19 + 2n)
19 + 2n + (5n + 14) = 180

Reorder the terms:
19 + 2n + (14 + 5n) = 180

Remove parenthesis around (14 + 5n)
19 + 2n + 14 + 5n = 180

Reorder the terms:
19 + 14 + 2n + 5n = 180

Combine like terms: 19 + 14 = 33
33 + 2n + 5n = 180

Combine like terms: 2n + 5n = 7n
33 + 7n = 180

Solving
33 + 7n = 180

Solving for variable 'n'.

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

Add '-33' to each side of the equation.
33 + -33 + 7n = 180 + -33

Combine like terms: 33 + -33 = 0
0 + 7n = 180 + -33
7n = 180 + -33

Combine like terms: 180 + -33 = 147
7n = 147

Divide each side by '7'.
n = 21

Simplifying
n = 21