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

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

Simplifying
-2(3 + -4n) + 2n = 2(1 + 3n)
(3 * -2 + -4n * -2) + 2n = 2(1 + 3n)
(-6 + 8n) + 2n = 2(1 + 3n)

Combine like terms: 8n + 2n = 10n
-6 + 10n = 2(1 + 3n)
-6 + 10n = (1 * 2 + 3n * 2)
-6 + 10n = (2 + 6n)

Solving
-6 + 10n = 2 + 6n

Solving for variable 'n'.

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

Add '-6n' to each side of the equation.
-6 + 10n + -6n = 2 + 6n + -6n

Combine like terms: 10n + -6n = 4n
-6 + 4n = 2 + 6n + -6n

Combine like terms: 6n + -6n = 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