(3n)=(2(n-3))

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

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

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

Remove parenthesis around (-6 + 2n)
(3n) = -6 + 2n

Solving
(3n) = -6 + 2n

Solving for variable 'n'.

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

Add '-2n' to each side of the equation.
(3n) + -2n = -6 + 2n + -2n

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

Combine like terms: 2n + -2n = 0
1n = -6 + 0
1n = -6

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

Simplifying
n = -6