5+3(3n+6)-n=

Solution for 5+3(3n+6)-n= equation:

Simplifying
5 + 3(3n + 6) + -1n = 0

Reorder the terms:
5 + 3(6 + 3n) + -1n = 0
5 + (6 * 3 + 3n * 3) + -1n = 0
5 + (18 + 9n) + -1n = 0

Combine like terms: 5 + 18 = 23
23 + 9n + -1n = 0

Combine like terms: 9n + -1n = 8n
23 + 8n = 0

Solving
23 + 8n = 0

Solving for variable 'n'.

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

Add '-23' to each side of the equation.
23 + -23 + 8n = 0 + -23

Combine like terms: 23 + -23 = 0
0 + 8n = 0 + -23
8n = 0 + -23

Combine like terms: 0 + -23 = -23
8n = -23

Divide each side by '8'.
n = -2.875

Simplifying
n = -2.875