-6+3n=2n-6+4n+9

Solution for -6+3n=2n-6+4n+9 equation:

Simplifying
-6 + 3n = 2n + -6 + 4n + 9

Reorder the terms:
-6 + 3n = -6 + 9 + 2n + 4n

Combine like terms: -6 + 9 = 3
-6 + 3n = 3 + 2n + 4n

Combine like terms: 2n + 4n = 6n
-6 + 3n = 3 + 6n

Solving
-6 + 3n = 3 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-6 + 3n + -6n = 3 + 6n + -6n

Combine like terms: 3n + -6n = -3n
-6 + -3n = 3 + 6n + -6n

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

Add '6' to each side of the equation.
-6 + 6 + -3n = 3 + 6

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

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

Divide each side by '-3'.
n = -3

Simplifying
n = -3