n+(3+n)+3(3+n)=32

Solution for n+(3+n)+3(3+n)=32 equation:

Simplifying
n + (3 + n) + 3(3 + n) = 32

Remove parenthesis around (3 + n)
n + 3 + n + 3(3 + n) = 32
n + 3 + n + (3 * 3 + n * 3) = 32
n + 3 + n + (9 + 3n) = 32

Reorder the terms:
3 + 9 + n + n + 3n = 32

Combine like terms: 3 + 9 = 12
12 + n + n + 3n = 32

Combine like terms: n + n = 2n
12 + 2n + 3n = 32

Combine like terms: 2n + 3n = 5n
12 + 5n = 32

Solving
12 + 5n = 32

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + 5n = 32 + -12

Combine like terms: 12 + -12 = 0
0 + 5n = 32 + -12
5n = 32 + -12

Combine like terms: 32 + -12 = 20
5n = 20

Divide each side by '5'.
n = 4

Simplifying
n = 4