With a variable on both sides solving a multi step equation two ways

The video tutorial explains two methods to solve equations with variables on both sides. The first method involves eliminating variables by adding their inverses, focusing on two-step equations. The second method offers an alternative approach by removing fractions through multiplication. The tutorial emphasizes understanding and choosing the method that suits the learner's preference.

What is the significance of multiplying every term by the denominator when eliminating fractions?

Describe the final steps to solve for 'v' in the equation presented in the text.