6(n+2)-6=34+2n

Solution for 6(n+2)-6=34+2n equation:

Simplifying
6(n + 2) + -6 = 34 + 2n

Reorder the terms:
6(2 + n) + -6 = 34 + 2n
(2 * 6 + n * 6) + -6 = 34 + 2n
(12 + 6n) + -6 = 34 + 2n

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

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

Solving
6 + 6n = 34 + 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.
6 + 6n + -2n = 34 + 2n + -2n

Combine like terms: 6n + -2n = 4n
6 + 4n = 34 + 2n + -2n

Combine like terms: 2n + -2n = 0
6 + 4n = 34 + 0
6 + 4n = 34

Add '-6' to each side of the equation.
6 + -6 + 4n = 34 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 34 + -6
4n = 34 + -6

Combine like terms: 34 + -6 = 28
4n = 28

Divide each side by '4'.
n = 7

Simplifying
n = 7