Learning to solve a two step equation with one fraction

The video tutorial explains how to isolate the variable K in an equation by using inverse operations. It clarifies the roles of the numbers involved, particularly the positive 8 and the negative fraction -3/8. The instructor rewrites the equation for better understanding and applies inverse operations to simplify it. The process involves subtracting 8 from both sides and multiplying by the reciprocal of the fraction to solve for K, resulting in K=32. The tutorial emphasizes the importance of understanding inverse operations in solving two-step equations.

What is the significance of multiplying by the reciprocal when solving for K?

Describe the final steps taken to solve for K in the equation presented.