3(n+1)-6(-2n-2)=30

Solution for 3(n+1)-6(-2n-2)=30 equation:

Simplifying
3(n + 1) + -6(-2n + -2) = 30

Reorder the terms:
3(1 + n) + -6(-2n + -2) = 30
(1 * 3 + n * 3) + -6(-2n + -2) = 30
(3 + 3n) + -6(-2n + -2) = 30

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

Reorder the terms:
3 + 12 + 3n + 12n = 30

Combine like terms: 3 + 12 = 15
15 + 3n + 12n = 30

Combine like terms: 3n + 12n = 15n
15 + 15n = 30

Solving
15 + 15n = 30

Solving for variable 'n'.

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

Add '-15' to each side of the equation.
15 + -15 + 15n = 30 + -15

Combine like terms: 15 + -15 = 0
0 + 15n = 30 + -15
15n = 30 + -15

Combine like terms: 30 + -15 = 15
15n = 15

Divide each side by '15'.
n = 1

Simplifying
n = 1