The estimated population of rabbits in a certain forest is given by the function \(P(t)=at+120\) where \(t\) is an integer which represents the number of years after the rabbit population was first counted, \(0\le t \le 10\), and \(a\) is a constant. If there were \(192\) rabbits \(3\) ears after the population was first counted, how many rabbits will there be \(7\) years after the population was first counted?

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