Let's solve the expression step by step:
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Calculate the absolute values:
- \(|-5| = 5\)
- \(|3| = 3\)
- \(|2| = 2\)
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Substitute the absolute values back into the expression: \[ 3 \cdot 5 + 3 - 2 \]
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Perform the multiplication: \[ 15 + 3 - 2 \]
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Now, perform the addition and subtraction: \[ 15 + 3 = 18 \] \[ 18 - 2 = 16 \]
So, the final answer is: \[ \boxed{16} \]