(3n+24)+(2n+21)=180

Solution for (3n+24)+(2n+21)=180 equation:

Simplifying
(3n + 24) + (2n + 21) = 180

Reorder the terms:
(24 + 3n) + (2n + 21) = 180

Remove parenthesis around (24 + 3n)
24 + 3n + (2n + 21) = 180

Reorder the terms:
24 + 3n + (21 + 2n) = 180

Remove parenthesis around (21 + 2n)
24 + 3n + 21 + 2n = 180

Reorder the terms:
24 + 21 + 3n + 2n = 180

Combine like terms: 24 + 21 = 45
45 + 3n + 2n = 180

Combine like terms: 3n + 2n = 5n
45 + 5n = 180

Solving
45 + 5n = 180

Solving for variable 'n'.

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

Add '-45' to each side of the equation.
45 + -45 + 5n = 180 + -45

Combine like terms: 45 + -45 = 0
0 + 5n = 180 + -45
5n = 180 + -45

Combine like terms: 180 + -45 = 135
5n = 135

Divide each side by '5'.
n = 27

Simplifying
n = 27