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

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

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

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

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

Solving
6 + 3n = -6 + 6n

Solving for variable 'n'.

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

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

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

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

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

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

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

Divide each side by '-3'.
n = 4

Simplifying
n = 4