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For the equation E=hv, you're trying to calculate the energy of a photon. The energy of an emitted photon can never be negative, that just doesn't make sense. When we discuss a negative delta E we're talking about a loss of energy. That equation doesn't deal with energy change; the equation E=(-hR)/n^2 does. That's where a negative E is permitted, because when electrons lose energy their energy in essence becomes "more negative". I hope that helped!!
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