4n+6-2n=3(n+3)-11

Solution for 4n+6-2n=3(n+3)-11 equation:

Simplifying
4n + 6 + -2n = 3(n + 3) + -11

Reorder the terms:
6 + 4n + -2n = 3(n + 3) + -11

Combine like terms: 4n + -2n = 2n
6 + 2n = 3(n + 3) + -11

Reorder the terms:
6 + 2n = 3(3 + n) + -11
6 + 2n = (3 * 3 + n * 3) + -11
6 + 2n = (9 + 3n) + -11

Reorder the terms:
6 + 2n = 9 + -11 + 3n

Combine like terms: 9 + -11 = -2
6 + 2n = -2 + 3n

Solving
6 + 2n = -2 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
6 + 2n + -3n = -2 + 3n + -3n

Combine like terms: 2n + -3n = -1n
6 + -1n = -2 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + -1n = -2 + 0
6 + -1n = -2

Add '-6' to each side of the equation.
6 + -6 + -1n = -2 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = -2 + -6
-1n = -2 + -6

Combine like terms: -2 + -6 = -8
-1n = -8

Divide each side by '-1'.
n = 8

Simplifying
n = 8