(n+2)+(n+4)=42

Solution for (n+2)+(n+4)=42 equation:

Simplifying
(n + 2) + (n + 4) = 42

Reorder the terms:
(2 + n) + (n + 4) = 42

Remove parenthesis around (2 + n)
2 + n + (n + 4) = 42

Reorder the terms:
2 + n + (4 + n) = 42

Remove parenthesis around (4 + n)
2 + n + 4 + n = 42

Reorder the terms:
2 + 4 + n + n = 42

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

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

Solving
6 + 2n = 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 + 2n = 42 + -6

Combine like terms: 6 + -6 = 0
0 + 2n = 42 + -6
2n = 42 + -6

Combine like terms: 42 + -6 = 36
2n = 36

Divide each side by '2'.
n = 18

Simplifying
n = 18