3(2n+4)+n=33

Solution for 3(2n+4)+n=33 equation:

Simplifying
3(2n + 4) + n = 33

Reorder the terms:
3(4 + 2n) + n = 33
(4 * 3 + 2n * 3) + n = 33
(12 + 6n) + n = 33

Combine like terms: 6n + n = 7n
12 + 7n = 33

Solving
12 + 7n = 33

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 + 7n = 33 + -12

Combine like terms: 12 + -12 = 0
0 + 7n = 33 + -12
7n = 33 + -12

Combine like terms: 33 + -12 = 21
7n = 21

Divide each side by '7'.
n = 3

Simplifying
n = 3