3(6n+2)+3n=174

Solution for 3(6n+2)+3n=174 equation:

Simplifying
3(6n + 2) + 3n = 174

Reorder the terms:
3(2 + 6n) + 3n = 174
(2 * 3 + 6n * 3) + 3n = 174
(6 + 18n) + 3n = 174

Combine like terms: 18n + 3n = 21n
6 + 21n = 174

Solving
6 + 21n = 174

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 + 21n = 174 + -6

Combine like terms: 6 + -6 = 0
0 + 21n = 174 + -6
21n = 174 + -6

Combine like terms: 174 + -6 = 168
21n = 168

Divide each side by '21'.
n = 8

Simplifying
n = 8