6(3n+1)-3(-1+2n)=3n

Solution for 6(3n+1)-3(-1+2n)=3n equation:

Simplifying
6(3n + 1) + -3(-1 + 2n) = 3n

Reorder the terms:
6(1 + 3n) + -3(-1 + 2n) = 3n
(1 * 6 + 3n * 6) + -3(-1 + 2n) = 3n
(6 + 18n) + -3(-1 + 2n) = 3n
6 + 18n + (-1 * -3 + 2n * -3) = 3n
6 + 18n + (3 + -6n) = 3n

Reorder the terms:
6 + 3 + 18n + -6n = 3n

Combine like terms: 6 + 3 = 9
9 + 18n + -6n = 3n

Combine like terms: 18n + -6n = 12n
9 + 12n = 3n

Solving
9 + 12n = 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.
9 + 12n + -3n = 3n + -3n

Combine like terms: 12n + -3n = 9n
9 + 9n = 3n + -3n

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

Add '-9' to each side of the equation.
9 + -9 + 9n = 0 + -9

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

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

Divide each side by '9'.
n = -1

Simplifying
n = -1