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Aura currently pays each month to rent her apartment. Due to inflation, however, her rent is increasing by each year. Meanwhile, her monthly take-home pay is and she predicts that her monthly pay will only increase by each year. Assuming that her rent and take-home pay will continue to grow linearly, will her rent ever equal her take-home pay? If so, when? And how much will rent be that year?  

Write two expressions, one for the amount Aura pays to rent her apartment and another for her take-home pay.
Set the expressions equal to one another.