To rewrite equations for finding final velocity, it's essential to perform the same operation on both sides to maintain equality. The discussion emphasizes the importance of understanding the properties of real numbers, which is foundational in Algebra. Participants encourage showing work step-by-step, particularly in manipulating the equation d = (vi + vf)/2 to isolate vf. Suggestions include multiplying both sides by 2 to eliminate the denominator, but the responsibility for completing the calculations lies with the learner. Ultimately, engaging with the problem and demonstrating each step is crucial for mastering the concept.