6-n=-2(1+2n)+2

Solution for 6-n=-2(1+2n)+2 equation:

Simplifying
6 + -1n = -2(1 + 2n) + 2
6 + -1n = (1 * -2 + 2n * -2) + 2
6 + -1n = (-2 + -4n) + 2

Reorder the terms:
6 + -1n = -2 + 2 + -4n

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

Solving
6 + -1n = -4n

Solving for variable 'n'.

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

Add '4n' to each side of the equation.
6 + -1n + 4n = -4n + 4n

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

Combine like terms: -4n + 4n = 0
6 + 3n = 0

Add '-6' to each side of the equation.
6 + -6 + 3n = 0 + -6

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

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

Divide each side by '3'.
n = -2

Simplifying
n = -2