3(2k+12)=-42

Solution for 3(2k+12)=-42 equation:

Simplifying
3(2k + 12) = -42

Reorder the terms:
3(12 + 2k) = -42
(12 * 3 + 2k * 3) = -42
(36 + 6k) = -42

Solving
36 + 6k = -42

Solving for variable 'k'.

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

Add '-36' to each side of the equation.
36 + -36 + 6k = -42 + -36

Combine like terms: 36 + -36 = 0
0 + 6k = -42 + -36
6k = -42 + -36

Combine like terms: -42 + -36 = -78
6k = -78

Divide each side by '6'.
k = -13

Simplifying
k = -13