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We can set up a 2x2 matrix using the data from the question as follows.
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The combined average is the total score divided by the total number of students. This value is
\(\frac{(65m + 70(45-m))}{45} = 67.\)
Solving for \(m\) yields
\(65m + 3150 – 70m = 3015\)
\(-5m = -135\)
\(m = 27.\)
Therefore, the answer is A.
Answer: A
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