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Ed is booking a hotel room for his vacation. If he stays for $7$ nights, the hotel will give him a $\$280$ discount. He notices that the amount he would pay for $7$ nights with the discount is the same as the amount he would pay for $5$ nights without the discount.$\newline$Which equation can you use to find $p$, the full price of the hotel room per night?$\newline$Choices:$\newline$(A) $7p - 280 = 5p$$\newline$(B) $7p = 280 - 5p$$\newline$What is the full price of the hotel room per night?$\newline$____ $\$$