-42+3k=k-5k

Solution for -42+3k=k-5k equation:

Simplifying
-42 + 3k = k + -5k

Combine like terms: k + -5k = -4k
-42 + 3k = -4k

Solving
-42 + 3k = -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
-42 + 3k + 4k = -4k + 4k

Combine like terms: 3k + 4k = 7k
-42 + 7k = -4k + 4k

Combine like terms: -4k + 4k = 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