In the unique case where all terms of a rational equation have exactly the same denominator, you can "clear the denominators," or essentially, cross them out and work with the numerators only. This feels like "breaking the rules," but technically, what you're doing is multiplying all terms of the equation by that denominator, which is mathematically valid. Look for the possibility of making all of the denominators the same to set up this strategy that easily "gets rid"of fractions.
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