2n+6-7n=33-11n+9

Solution for 2n+6-7n=33-11n+9 equation:

Simplifying
2n + 6 + -7n = 33 + -11n + 9

Reorder the terms:
6 + 2n + -7n = 33 + -11n + 9

Combine like terms: 2n + -7n = -5n
6 + -5n = 33 + -11n + 9

Reorder the terms:
6 + -5n = 33 + 9 + -11n

Combine like terms: 33 + 9 = 42
6 + -5n = 42 + -11n

Solving
6 + -5n = 42 + -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 = 42 + -11n + 11n

Combine like terms: -5n + 11n = 6n
6 + 6n = 42 + -11n + 11n

Combine like terms: -11n + 11n = 0
6 + 6n = 42 + 0
6 + 6n = 42

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

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

Combine like terms: 42 + -6 = 36
6n = 36

Divide each side by '6'.
n = 6

Simplifying
n = 6