Kim is planning a trip to Spain. She will stay there for a total of thirteen nights. She has found two options for her lodging: a hostel, which charges €12.65 (12.65 euros) per night, and a private hotel, which charges €31.25 per night. Kim would like to spend as many nights as she can afford in the private hotel. If she has a budget of €275 for lodging, how many nights can she stay in the hotel?
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