3(4n-2)-3(-2n+6)=30

Solution for 3(4n-2)-3(-2n+6)=30 equation:

Simplifying
3(4n + -2) + -3(-2n + 6) = 30

Reorder the terms:
3(-2 + 4n) + -3(-2n + 6) = 30
(-2 * 3 + 4n * 3) + -3(-2n + 6) = 30
(-6 + 12n) + -3(-2n + 6) = 30

Reorder the terms:
-6 + 12n + -3(6 + -2n) = 30
-6 + 12n + (6 * -3 + -2n * -3) = 30
-6 + 12n + (-18 + 6n) = 30

Reorder the terms:
-6 + -18 + 12n + 6n = 30

Combine like terms: -6 + -18 = -24
-24 + 12n + 6n = 30

Combine like terms: 12n + 6n = 18n
-24 + 18n = 30

Solving
-24 + 18n = 30

Solving for variable 'n'.

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

Add '24' to each side of the equation.
-24 + 24 + 18n = 30 + 24

Combine like terms: -24 + 24 = 0
0 + 18n = 30 + 24
18n = 30 + 24

Combine like terms: 30 + 24 = 54
18n = 54

Divide each side by '18'.
n = 3

Simplifying
n = 3