n+6+n=3m+7m-14

Solution for n+6+n=3m+7m-14 equation:

Simplifying
n + 6 + n = 3m + 7m + -14

Reorder the terms:
6 + n + n = 3m + 7m + -14

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

Reorder the terms:
6 + 2n = -14 + 3m + 7m

Combine like terms: 3m + 7m = 10m
6 + 2n = -14 + 10m

Solving
6 + 2n = -14 + 10m

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 + 2n = -14 + -6 + 10m

Combine like terms: 6 + -6 = 0
0 + 2n = -14 + -6 + 10m
2n = -14 + -6 + 10m

Combine like terms: -14 + -6 = -20
2n = -20 + 10m

Divide each side by '2'.
n = -10 + 5m

Simplifying
n = -10 + 5m