How do you use multiplication and division to undo each other why might this be helpful to balancing equations?

Multiplication and division are inverse operations, meaning that they can be used to cancel each other out. For instance, if an equation involves multiplying a variable by a number, dividing by that same number can isolate the variable. This process is helpful in balancing equations because it allows you to systematically solve for unknowns, ensuring that both sides of the equation remain equal while manipulating the terms. This foundational principle is crucial in algebra for maintaining the integrity of equations during problem-solving.