n+(3n+3)+(3n-1)=72

Solution for n+(3n+3)+(3n-1)=72 equation:

Simplifying
n + (3n + 3) + (3n + -1) = 72

Reorder the terms:
n + (3 + 3n) + (3n + -1) = 72

Remove parenthesis around (3 + 3n)
n + 3 + 3n + (3n + -1) = 72

Reorder the terms:
n + 3 + 3n + (-1 + 3n) = 72

Remove parenthesis around (-1 + 3n)
n + 3 + 3n + -1 + 3n = 72

Reorder the terms:
3 + -1 + n + 3n + 3n = 72

Combine like terms: 3 + -1 = 2
2 + n + 3n + 3n = 72

Combine like terms: n + 3n = 4n
2 + 4n + 3n = 72

Combine like terms: 4n + 3n = 7n
2 + 7n = 72

Solving
2 + 7n = 72

Solving for variable 'n'.

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

Add '-2' to each side of the equation.
2 + -2 + 7n = 72 + -2

Combine like terms: 2 + -2 = 0
0 + 7n = 72 + -2
7n = 72 + -2

Combine like terms: 72 + -2 = 70
7n = 70

Divide each side by '7'.
n = 10

Simplifying
n = 10