3(3n+3)+1=37

Solution for 3(3n+3)+1=37 equation:

Simplifying
3(3n + 3) + 1 = 37

Reorder the terms:
3(3 + 3n) + 1 = 37
(3 * 3 + 3n * 3) + 1 = 37
(9 + 9n) + 1 = 37

Reorder the terms:
9 + 1 + 9n = 37

Combine like terms: 9 + 1 = 10
10 + 9n = 37

Solving
10 + 9n = 37

Solving for variable 'n'.

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

Add '-10' to each side of the equation.
10 + -10 + 9n = 37 + -10

Combine like terms: 10 + -10 = 0
0 + 9n = 37 + -10
9n = 37 + -10

Combine like terms: 37 + -10 = 27
9n = 27

Divide each side by '9'.
n = 3

Simplifying
n = 3