3n+6-8n=33-11n+15

Solution for 3n+6-8n=33-11n+15 equation:

Simplifying
3n + 6 + -8n = 33 + -11n + 15

Reorder the terms:
6 + 3n + -8n = 33 + -11n + 15

Combine like terms: 3n + -8n = -5n
6 + -5n = 33 + -11n + 15

Reorder the terms:
6 + -5n = 33 + 15 + -11n

Combine like terms: 33 + 15 = 48
6 + -5n = 48 + -11n

Solving
6 + -5n = 48 + -11n

Solving for variable 'n'.

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

Add '11n' to each side of the equation.
6 + -5n + 11n = 48 + -11n + 11n

Combine like terms: -5n + 11n = 6n
6 + 6n = 48 + -11n + 11n

Combine like terms: -11n + 11n = 0
6 + 6n = 48 + 0
6 + 6n = 48

Add '-6' to each side of the equation.
6 + -6 + 6n = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 6n = 48 + -6
6n = 48 + -6

Combine like terms: 48 + -6 = 42
6n = 42

Divide each side by '6'.
n = 7

Simplifying
n = 7