12-(n+6)=3n+14-2n

Solution for 12-(n+6)=3n+14-2n equation:

Simplifying
12 + -1(n + 6) = 3n + 14 + -2n

Reorder the terms:
12 + -1(6 + n) = 3n + 14 + -2n
12 + (6 * -1 + n * -1) = 3n + 14 + -2n
12 + (-6 + -1n) = 3n + 14 + -2n

Combine like terms: 12 + -6 = 6
6 + -1n = 3n + 14 + -2n

Reorder the terms:
6 + -1n = 14 + 3n + -2n

Combine like terms: 3n + -2n = 1n
6 + -1n = 14 + 1n

Solving
6 + -1n = 14 + 1n

Solving for variable 'n'.

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

Add '-1n' to each side of the equation.
6 + -1n + -1n = 14 + 1n + -1n

Combine like terms: -1n + -1n = -2n
6 + -2n = 14 + 1n + -1n

Combine like terms: 1n + -1n = 0
6 + -2n = 14 + 0
6 + -2n = 14

Add '-6' to each side of the equation.
6 + -6 + -2n = 14 + -6

Combine like terms: 6 + -6 = 0
0 + -2n = 14 + -6
-2n = 14 + -6

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

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

Simplifying
n = -4