42=-7k

Solution for 42=-7k equation:

Simplifying
42 = -7k

Solving
42 = -7k

Solving for variable 'k'.

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

Add '7k' to each side of the equation.
42 + 7k = -7k + 7k

Combine like terms: -7k + 7k = 0
42 + 7k = 0

Add '-42' to each side of the equation.
42 + -42 + 7k = 0 + -42

Combine like terms: 42 + -42 = 0
0 + 7k = 0 + -42
7k = 0 + -42

Combine like terms: 0 + -42 = -42
7k = -42

Divide each side by '7'.
k = -6

Simplifying
k = -6