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In a school, there are 240 students, and they are divided equally into 6 classes. Each class is further split into groups of 5 students each. One day, the school principal decided to reward the best performing group from each class with a special prize. However, 3 students from the winning groups couldn't attend the prize ceremony. How many students actually received the prize?

** Let's think step by step and output the final answer within \boxed{}.
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