To find the total number of points \( p \) the basketball team scored during the game, you can use the given equation:
\[ p = 6(3) + 21(2) + 16 \]
Now, let's calculate it step by step:
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Calculate the points from the baskets worth 3 points: \[ 6(3) = 18 \]
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Calculate the points from the baskets worth 2 points: \[ 21(2) = 42 \]
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The points from the baskets worth 1 point are already given as: \[ 16 \]
Now, add all these points together: \[ p = 18 + 42 + 16 \]
Calculating that gives: \[ p = 76 \]
Therefore, the total number of points scored by the basketball team during the game is \( \boxed{76} \).