3(n-2)-(8+4n)=-2n

Solution for 3(n-2)-(8+4n)=-2n equation:

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

Reorder the terms:
3(-2 + n) + -1(8 + 4n) = -2n
(-2 * 3 + n * 3) + -1(8 + 4n) = -2n
(-6 + 3n) + -1(8 + 4n) = -2n
-6 + 3n + (8 * -1 + 4n * -1) = -2n
-6 + 3n + (-8 + -4n) = -2n

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

Combine like terms: -6 + -8 = -14
-14 + 3n + -4n = -2n

Combine like terms: 3n + -4n = -1n
-14 + -1n = -2n

Solving
-14 + -1n = -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.
-14 + -1n + 2n = -2n + 2n

Combine like terms: -1n + 2n = 1n
-14 + 1n = -2n + 2n

Combine like terms: -2n + 2n = 0
-14 + 1n = 0

Add '14' to each side of the equation.
-14 + 14 + 1n = 0 + 14

Combine like terms: -14 + 14 = 0
0 + 1n = 0 + 14
1n = 0 + 14

Combine like terms: 0 + 14 = 14
1n = 14

Divide each side by '1'.
n = 14

Simplifying
n = 14