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

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

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

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

Combine like terms: -1 + 2 = 1
6 + 18n + -3(1) * n = n + 2n

Multiply -3 * 1
6 + 18n + -3n = n + 2n

Combine like terms: 18n + -3n = 15n
6 + 15n = n + 2n

Combine like terms: n + 2n = 3n
6 + 15n = 3n

Solving
6 + 15n = 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 + 15n + -3n = 3n + -3n

Combine like terms: 15n + -3n = 12n
6 + 12n = 3n + -3n

Combine like terms: 3n + -3n = 0
6 + 12n = 0

Add '-6' to each side of the equation.
6 + -6 + 12n = 0 + -6

Combine like terms: 6 + -6 = 0
0 + 12n = 0 + -6
12n = 0 + -6

Combine like terms: 0 + -6 = -6
12n = -6

Divide each side by '12'.
n = -0.5

Simplifying
n = -0.5