To solve the problem, we'll divide -72 by -4 first, and then take that result and divide it by -9.
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Start with the first division: \[ \frac{-72}{-4} = 18 \] (Since dividing two negatives gives a positive.)
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Now, take the result and divide by -9: \[ \frac{18}{-9} = -2 \]
Therefore, the final quotient is \(-2\).