6+n=n+8+2n

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

Simplifying
6 + n = n + 8 + 2n

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

Combine like terms: n + 2n = 3n
6 + n = 8 + 3n

Solving
6 + n = 8 + 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 + n + -3n = 8 + 3n + -3n

Combine like terms: n + -3n = -2n
6 + -2n = 8 + 3n + -3n

Combine like terms: 3n + -3n = 0
6 + -2n = 8 + 0
6 + -2n = 8

Add '-6' to each side of the equation.
6 + -6 + -2n = 8 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = 8 + -6
-2n = 8 + -6

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

Divide each side by '-2'.
n = -1

Simplifying
n = -1