6(5+6n)-6(2n-2)=-30

Solution for 6(5+6n)-6(2n-2)=-30 equation:

Simplifying
6(5 + 6n) + -6(2n + -2) = -30
(5 * 6 + 6n * 6) + -6(2n + -2) = -30
(30 + 36n) + -6(2n + -2) = -30

Reorder the terms:
30 + 36n + -6(-2 + 2n) = -30
30 + 36n + (-2 * -6 + 2n * -6) = -30
30 + 36n + (12 + -12n) = -30

Reorder the terms:
30 + 12 + 36n + -12n = -30

Combine like terms: 30 + 12 = 42
42 + 36n + -12n = -30

Combine like terms: 36n + -12n = 24n
42 + 24n = -30

Solving
42 + 24n = -30

Solving for variable 'n'.

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

Add '-42' to each side of the equation.
42 + -42 + 24n = -30 + -42

Combine like terms: 42 + -42 = 0
0 + 24n = -30 + -42
24n = -30 + -42

Combine like terms: -30 + -42 = -72
24n = -72

Divide each side by '24'.
n = -3

Simplifying
n = -3