3(n+5)+3(n+9)=

Solution for 3(n+5)+3(n+9)= equation:

Simplifying
3(n + 5) + 3(n + 9) = 0

Reorder the terms:
3(5 + n) + 3(n + 9) = 0
(5 * 3 + n * 3) + 3(n + 9) = 0
(15 + 3n) + 3(n + 9) = 0

Reorder the terms:
15 + 3n + 3(9 + n) = 0
15 + 3n + (9 * 3 + n * 3) = 0
15 + 3n + (27 + 3n) = 0

Reorder the terms:
15 + 27 + 3n + 3n = 0

Combine like terms: 15 + 27 = 42
42 + 3n + 3n = 0

Combine like terms: 3n + 3n = 6n
42 + 6n = 0

Solving
42 + 6n = 0

Solving for variable 'n'.

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

Add '-42' to each side of the equation.
42 + -42 + 6n = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 6n = 0 + -42
6n = 0 + -42

Combine like terms: 0 + -42 = -42
6n = -42

Divide each side by '6'.
n = -7

Simplifying
n = -7