4n+6=-4n+2n

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

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

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

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

Solving
6 + 4n = -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 + 4n + 2n = -2n + 2n

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

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

Add '-6' to each side of the equation.
6 + -6 + 6n = 0 + -6

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

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

Divide each side by '6'.
n = -1

Simplifying
n = -1