n+(n+5.2)+(2n+3.4)=22.6

Solution for n+(n+5.2)+(2n+3.4)=22.6 equation:

Simplifying
n + (n + 5.2) + (2n + 3.4) = 22.6

Reorder the terms:
n + (5.2 + n) + (2n + 3.4) = 22.6

Remove parenthesis around (5.2 + n)
n + 5.2 + n + (2n + 3.4) = 22.6

Reorder the terms:
n + 5.2 + n + (3.4 + 2n) = 22.6

Remove parenthesis around (3.4 + 2n)
n + 5.2 + n + 3.4 + 2n = 22.6

Reorder the terms:
5.2 + 3.4 + n + n + 2n = 22.6

Combine like terms: 5.2 + 3.4 = 8.6
8.6 + n + n + 2n = 22.6

Combine like terms: n + n = 2n
8.6 + 2n + 2n = 22.6

Combine like terms: 2n + 2n = 4n
8.6 + 4n = 22.6

Solving
8.6 + 4n = 22.6

Solving for variable 'n'.

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

Add '-8.6' to each side of the equation.
8.6 + -8.6 + 4n = 22.6 + -8.6

Combine like terms: 8.6 + -8.6 = 0.0
0.0 + 4n = 22.6 + -8.6
4n = 22.6 + -8.6

Combine like terms: 22.6 + -8.6 = 14
4n = 14

Divide each side by '4'.
n = 3.5

Simplifying
n = 3.5