3(1+3n)-3(5n-1)=

Solution for 3(1+3n)-3(5n-1)= equation:

Simplifying
3(1 + 3n) + -3(5n + -1) = 0
(1 * 3 + 3n * 3) + -3(5n + -1) = 0
(3 + 9n) + -3(5n + -1) = 0

Reorder the terms:
3 + 9n + -3(-1 + 5n) = 0
3 + 9n + (-1 * -3 + 5n * -3) = 0
3 + 9n + (3 + -15n) = 0

Reorder the terms:
3 + 3 + 9n + -15n = 0

Combine like terms: 3 + 3 = 6
6 + 9n + -15n = 0

Combine like terms: 9n + -15n = -6n
6 + -6n = 0

Solving
6 + -6n = 0

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 + -6n = 0 + -6

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

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

Divide each side by '-6'.
n = 1

Simplifying
n = 1