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

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

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

Reorder the terms:
3n + -2(-3 + 4n) = -2n
3n + (-3 * -2 + 4n * -2) = -2n
3n + (6 + -8n) = -2n

Reorder the terms:
6 + 3n + -8n = -2n

Combine like terms: 3n + -8n = -5n
6 + -5n = -2n

Solving
6 + -5n = -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 + -5n + 2n = -2n + 2n

Combine like terms: -5n + 2n = -3n
6 + -3n = -2n + 2n

Combine like terms: -2n + 2n = 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