2(n+7)+2(2n+2)=72

Solution for 2(n+7)+2(2n+2)=72 equation:

Simplifying
2(n + 7) + 2(2n + 2) = 72

Reorder the terms:
2(7 + n) + 2(2n + 2) = 72
(7 * 2 + n * 2) + 2(2n + 2) = 72
(14 + 2n) + 2(2n + 2) = 72

Reorder the terms:
14 + 2n + 2(2 + 2n) = 72
14 + 2n + (2 * 2 + 2n * 2) = 72
14 + 2n + (4 + 4n) = 72

Reorder the terms:
14 + 4 + 2n + 4n = 72

Combine like terms: 14 + 4 = 18
18 + 2n + 4n = 72

Combine like terms: 2n + 4n = 6n
18 + 6n = 72

Solving
18 + 6n = 72

Solving for variable 'n'.

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

Add '-18' to each side of the equation.
18 + -18 + 6n = 72 + -18

Combine like terms: 18 + -18 = 0
0 + 6n = 72 + -18
6n = 72 + -18

Combine like terms: 72 + -18 = 54
6n = 54

Divide each side by '6'.
n = 9

Simplifying
n = 9