3(n+5)+3(n-2)=

Solution for 3(n+5)+3(n-2)= equation:

Simplifying
3(n + 5) + 3(n + -2) = 0

Reorder the terms:
3(5 + n) + 3(n + -2) = 0
(5 * 3 + n * 3) + 3(n + -2) = 0
(15 + 3n) + 3(n + -2) = 0

Reorder the terms:
15 + 3n + 3(-2 + n) = 0
15 + 3n + (-2 * 3 + n * 3) = 0
15 + 3n + (-6 + 3n) = 0

Reorder the terms:
15 + -6 + 3n + 3n = 0

Combine like terms: 15 + -6 = 9
9 + 3n + 3n = 0

Combine like terms: 3n + 3n = 6n
9 + 6n = 0

Solving
9 + 6n = 0

Solving for variable 'n'.

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

Add '-9' to each side of the equation.
9 + -9 + 6n = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 6n = 0 + -9
6n = 0 + -9

Combine like terms: 0 + -9 = -9
6n = -9

Divide each side by '6'.
n = -1.5

Simplifying
n = -1.5