The temperature of a hard boiled egg varies according to Newton's Law of Cooling: dT dt equals negative k times the quantity T minus A, where T is the temperature of the egg, A is the room temperature, and k is a positive constant. If the egg cools from 100°C to 90°C in 1 minute at a room temperature of 70°C, find the temperature, to the nearest degree Celsius of the coffee after 4 minutes.
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