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In this video tutorial, Mario from Mario's Math Tutoring explains how to rewrite equations and formulas to solve for a specific variable in three examples. He demonstrates how to approach the problems by working from the outside in towards the desired variable. For instance, in the problem of finding the base one in the area of a trapezoid equation, he shows that multiplying both sides by 2 over 1 eliminates the 1/2 coefficient. The key is to simplify the equation step by step to isolate the variable being solved for.