(n+2)+n+(n+4)=81

Solution for (n+2)+n+(n+4)=81 equation:

Simplifying
(n + 2) + n + (n + 4) = 81

Reorder the terms:
(2 + n) + n + (n + 4) = 81

Remove parenthesis around (2 + n)
2 + n + n + (n + 4) = 81

Reorder the terms:
2 + n + n + (4 + n) = 81

Remove parenthesis around (4 + n)
2 + n + n + 4 + n = 81

Reorder the terms:
2 + 4 + n + n + n = 81

Combine like terms: 2 + 4 = 6
6 + n + n + n = 81

Combine like terms: n + n = 2n
6 + 2n + n = 81

Combine like terms: 2n + n = 3n
6 + 3n = 81

Solving
6 + 3n = 81

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 + 3n = 81 + -6

Combine like terms: 6 + -6 = 0
0 + 3n = 81 + -6
3n = 81 + -6

Combine like terms: 81 + -6 = 75
3n = 75

Divide each side by '3'.
n = 25

Simplifying
n = 25