8-2n+3n-7n-2=2-14

Solution for 8-2n+3n-7n-2=2-14 equation:

Simplifying
8 + -2n + 3n + -7n + -2 = 2 + -14

Reorder the terms:
8 + -2 + -2n + 3n + -7n = 2 + -14

Combine like terms: 8 + -2 = 6
6 + -2n + 3n + -7n = 2 + -14

Combine like terms: -2n + 3n = 1n
6 + 1n + -7n = 2 + -14

Combine like terms: 1n + -7n = -6n
6 + -6n = 2 + -14

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

Solving
6 + -6n = -12

Solving for variable 'n'.

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

Add '-6' to each side of the equation.
6 + -6 + -6n = -12 + -6

Combine like terms: 6 + -6 = 0
0 + -6n = -12 + -6
-6n = -12 + -6

Combine like terms: -12 + -6 = -18
-6n = -18

Divide each side by '-6'.
n = 3

Simplifying
n = 3