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

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

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

Reorder the terms:
6 + 3(5 + 3n) + -1n = 0
6 + (5 * 3 + 3n * 3) + -1n = 0
6 + (15 + 9n) + -1n = 0

Combine like terms: 6 + 15 = 21
21 + 9n + -1n = 0

Combine like terms: 9n + -1n = 8n
21 + 8n = 0

Solving
21 + 8n = 0

Solving for variable 'n'.

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

Add '-21' to each side of the equation.
21 + -21 + 8n = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 8n = 0 + -21
8n = 0 + -21

Combine like terms: 0 + -21 = -21
8n = -21

Divide each side by '8'.
n = -2.625

Simplifying
n = -2.625