2+6n=n-6+4n

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

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

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

Combine like terms: n + 4n = 5n
2 + 6n = -6 + 5n

Solving
2 + 6n = -6 + 5n

Solving for variable 'n'.

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

Add '-5n' to each side of the equation.
2 + 6n + -5n = -6 + 5n + -5n

Combine like terms: 6n + -5n = 1n
2 + 1n = -6 + 5n + -5n

Combine like terms: 5n + -5n = 0
2 + 1n = -6 + 0
2 + 1n = -6

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

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

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

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

Simplifying
n = -8