Let's break down the calculations step by step.
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First, we divide -72 by -4:
\[ -72 \div -4 = 18 \]
(Dividing two negative numbers gives a positive result.)
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Next, we take the quotient (18) and divide it by -9:
\[ 18 \div -9 = -2 \]
(Dividing a positive number by a negative number gives a negative result.)
So, the final quotient is \(-2\).
Thus, the answer is indeed \(-2\).