6(6n+5)=-42

Solution for 6(6n+5)=-42 equation:

Simplifying
6(6n + 5) = -42

Reorder the terms:
6(5 + 6n) = -42
(5 * 6 + 6n * 6) = -42
(30 + 36n) = -42

Solving
30 + 36n = -42

Solving for variable 'n'.

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

Add '-30' to each side of the equation.
30 + -30 + 36n = -42 + -30

Combine like terms: 30 + -30 = 0
0 + 36n = -42 + -30
36n = -42 + -30

Combine like terms: -42 + -30 = -72
36n = -72

Divide each side by '36'.
n = -2

Simplifying
n = -2