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

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

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

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

Solving
-6 + 2n = 18 + 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 + 2n + -6n = 18 + 6n + -6n

Combine like terms: 2n + -6n = -4n
-6 + -4n = 18 + 6n + -6n

Combine like terms: 6n + -6n = 0
-6 + -4n = 18 + 0
-6 + -4n = 18

Add '6' to each side of the equation.
-6 + 6 + -4n = 18 + 6

Combine like terms: -6 + 6 = 0
0 + -4n = 18 + 6
-4n = 18 + 6

Combine like terms: 18 + 6 = 24
-4n = 24

Divide each side by '-4'.
n = -6

Simplifying
n = -6