6-2n=-4n-2(1-3n)

Solution for 6-2n=-4n-2(1-3n) equation:

Simplifying
6 + -2n = -4n + -2(1 + -3n)
6 + -2n = -4n + (1 * -2 + -3n * -2)
6 + -2n = -4n + (-2 + 6n)

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

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

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

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

Combine like terms: 2n + -2n = 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 = -8
-4n = -8

Divide each side by '-4'.
n = 2

Simplifying
n = 2