3n+6=2-n

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

Simplifying
3n + 6 = 2 + -1n

Reorder the terms:
6 + 3n = 2 + -1n

Solving
6 + 3n = 2 + -1n

Solving for variable 'n'.

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

Add 'n' to each side of the equation.
6 + 3n + n = 2 + -1n + n

Combine like terms: 3n + n = 4n
6 + 4n = 2 + -1n + n

Combine like terms: -1n + n = 0
6 + 4n = 2 + 0
6 + 4n = 2

Add '-6' to each side of the equation.
6 + -6 + 4n = 2 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 2 + -6
4n = 2 + -6

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

Divide each side by '4'.
n = -1

Simplifying
n = -1