n+(n+6)+(2n)=46

Solution for n+(n+6)+(2n)=46 equation:

Simplifying
n + (n + 6) + (2n) = 46

Reorder the terms:
n + (6 + n) + (2n) = 46

Remove parenthesis around (6 + n)
n + 6 + n + (2n) = 46

Reorder the terms:
6 + n + n + (2n) = 46

Combine like terms: n + n = 2n
6 + 2n + (2n) = 46

Combine like terms: 2n + (2n) = 4n
6 + 4n = 46

Solving
6 + 4n = 46

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 = 46 + -6

Combine like terms: 6 + -6 = 0
0 + 4n = 46 + -6
4n = 46 + -6

Combine like terms: 46 + -6 = 40
4n = 40

Divide each side by '4'.
n = 10

Simplifying
n = 10