A professor grades students on two tests, three quizzes and a final examination. Each test counts the same as three quizes and the final examination counts the same as two tests. Maegan has test scores of 86 and 97. Maegan's quiz scores are 87, 75 and 87. Her final examination score is 95. Find Maegan's weighted average for the course. The professor rounds averages to the nearest integer.
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