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

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

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

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

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

Combine like terms: 6n + 2n = 8n
-18 + 8n = 6 + -2n + 2n

Combine like terms: -2n + 2n = 0
-18 + 8n = 6 + 0
-18 + 8n = 6

Add '18' to each side of the equation.
-18 + 18 + 8n = 6 + 18

Combine like terms: -18 + 18 = 0
0 + 8n = 6 + 18
8n = 6 + 18

Combine like terms: 6 + 18 = 24
8n = 24

Divide each side by '8'.
n = 3

Simplifying
n = 3