2(n+3)+2n=42

Solution for 2(n+3)+2n=42 equation:

Simplifying
2(n + 3) + 2n = 42

Reorder the terms:
2(3 + n) + 2n = 42
(3 * 2 + n * 2) + 2n = 42
(6 + 2n) + 2n = 42

Combine like terms: 2n + 2n = 4n
6 + 4n = 42

Solving
6 + 4n = 42

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 + 4n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 42 + -6
4n = 42 + -6

Combine like terms: 42 + -6 = 36
4n = 36

Divide each side by '4'.
n = 9

Simplifying
n = 9