To evaluate and simplify the expression \((15 - 3 \cdot 47)04 - 3\), let's first clarify what the notation means, as you have mentioned "Prop", which might imply a property of arithmetic such as distribution or combining like terms.
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Calculate \(3 \cdot 47\): \[ 3 \cdot 47 = 141 \]
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Substitute \(141\) back into the expression: \[ 15 - 141 = -126 \]
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Now we substitute into the whole expression: \[ (-126)04 - 3 \] Here, \(04\) could be interpreted as \(0\), suggesting multiplication by \(0\): \[ -126 \cdot 0 - 3 = 0 - 3 = -3 \]
Thus, the equivalent expression simplifies to \(-3\).
If you are looking for a specific property or operation beyond arithmetic simplification, please provide more context or clarify the term "Prop".