6+n=2n+6+8

Solution for 6+n=2n+6+8 equation:

Simplifying
6 + n = 2n + 6 + 8

Reorder the terms:
6 + n = 6 + 8 + 2n

Combine like terms: 6 + 8 = 14
6 + n = 14 + 2n

Solving
6 + n = 14 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
6 + n + -2n = 14 + 2n + -2n

Combine like terms: n + -2n = -1n
6 + -1n = 14 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + -1n = 14 + 0
6 + -1n = 14

Add '-6' to each side of the equation.
6 + -6 + -1n = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -1n = 14 + -6
-1n = 14 + -6

Combine like terms: 14 + -6 = 8
-1n = 8

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

Simplifying
n = -8