(3n+20)+(2n+37)+(4n+15)=180

Solution for (3n+20)+(2n+37)+(4n+15)=180 equation:

Simplifying
(3n + 20) + (2n + 37) + (4n + 15) = 180

Reorder the terms:
(20 + 3n) + (2n + 37) + (4n + 15) = 180

Remove parenthesis around (20 + 3n)
20 + 3n + (2n + 37) + (4n + 15) = 180

Reorder the terms:
20 + 3n + (37 + 2n) + (4n + 15) = 180

Remove parenthesis around (37 + 2n)
20 + 3n + 37 + 2n + (4n + 15) = 180

Reorder the terms:
20 + 3n + 37 + 2n + (15 + 4n) = 180

Remove parenthesis around (15 + 4n)
20 + 3n + 37 + 2n + 15 + 4n = 180

Reorder the terms:
20 + 37 + 15 + 3n + 2n + 4n = 180

Combine like terms: 20 + 37 = 57
57 + 15 + 3n + 2n + 4n = 180

Combine like terms: 57 + 15 = 72
72 + 3n + 2n + 4n = 180

Combine like terms: 3n + 2n = 5n
72 + 5n + 4n = 180

Combine like terms: 5n + 4n = 9n
72 + 9n = 180

Solving
72 + 9n = 180

Solving for variable 'n'.

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

Add '-72' to each side of the equation.
72 + -72 + 9n = 180 + -72

Combine like terms: 72 + -72 = 0
0 + 9n = 180 + -72
9n = 180 + -72

Combine like terms: 180 + -72 = 108
9n = 108

Divide each side by '9'.
n = 12

Simplifying
n = 12