2n+6-8n=34-12n+14

Solution for 2n+6-8n=34-12n+14 equation:

Simplifying
2n + 6 + -8n = 34 + -12n + 14

Reorder the terms:
6 + 2n + -8n = 34 + -12n + 14

Combine like terms: 2n + -8n = -6n
6 + -6n = 34 + -12n + 14

Reorder the terms:
6 + -6n = 34 + 14 + -12n

Combine like terms: 34 + 14 = 48
6 + -6n = 48 + -12n

Solving
6 + -6n = 48 + -12n

Solving for variable 'n'.

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

Add '12n' to each side of the equation.
6 + -6n + 12n = 48 + -12n + 12n

Combine like terms: -6n + 12n = 6n
6 + 6n = 48 + -12n + 12n

Combine like terms: -12n + 12n = 0
6 + 6n = 48 + 0
6 + 6n = 48

Add '-6' to each side of the equation.
6 + -6 + 6n = 48 + -6

Combine like terms: 6 + -6 = 0
0 + 6n = 48 + -6
6n = 48 + -6

Combine like terms: 48 + -6 = 42
6n = 42

Divide each side by '6'.
n = 7

Simplifying
n = 7