3(3n-2)=(3n+1)1

Solution for 3(3n-2)=(3n+1)1 equation:

Simplifying
3(3n + -2) = (3n + 1) * 1

Reorder the terms:
3(-2 + 3n) = (3n + 1) * 1
(-2 * 3 + 3n * 3) = (3n + 1) * 1
(-6 + 9n) = (3n + 1) * 1

Reorder the terms:
-6 + 9n = (1 + 3n) * 1

Reorder the terms for easier multiplication:
-6 + 9n = 1(1 + 3n)
-6 + 9n = (1 * 1 + 3n * 1)
-6 + 9n = (1 + 3n)

Solving
-6 + 9n = 1 + 3n

Solving for variable 'n'.

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

Add '-3n' to each side of the equation.
-6 + 9n + -3n = 1 + 3n + -3n

Combine like terms: 9n + -3n = 6n
-6 + 6n = 1 + 3n + -3n

Combine like terms: 3n + -3n = 0
-6 + 6n = 1 + 0
-6 + 6n = 1

Add '6' to each side of the equation.
-6 + 6 + 6n = 1 + 6

Combine like terms: -6 + 6 = 0
0 + 6n = 1 + 6
6n = 1 + 6

Combine like terms: 1 + 6 = 7
6n = 7

Divide each side by '6'.
n = 1.166666667

Simplifying
n = 1.166666667