6+6(1+3n)=-42

Solution for 6+6(1+3n)=-42 equation:

Simplifying
6 + 6(1 + 3n) = -42
6 + (1 * 6 + 3n * 6) = -42
6 + (6 + 18n) = -42

Combine like terms: 6 + 6 = 12
12 + 18n = -42

Solving
12 + 18n = -42

Solving for variable 'n'.

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

Add '-12' to each side of the equation.
12 + -12 + 18n = -42 + -12

Combine like terms: 12 + -12 = 0
0 + 18n = -42 + -12
18n = -42 + -12

Combine like terms: -42 + -12 = -54
18n = -54

Divide each side by '18'.
n = -3

Simplifying
n = -3