To solve the expression \(3 \cdot 9 \cdot 3 - 5\), we can follow the order of operations:
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First, calculate \(3 \cdot 9\): \[ 3 \cdot 9 = 27 \]
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Next, multiply that result by \(3\): \[ 27 \cdot 3 = 81 \]
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Finally, subtract \(5\) from \(81\): \[ 81 - 5 = 76 \]
Thus, the numerical equivalent of \(3 \cdot 9 \cdot 3 - 5\) is \(\boxed{76}\).