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The simplified result is \(-41\).
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The Deep Dive
First, we need to simplify the expression step by step. 1. Calculate the absolute value: \(|3 - 11| = |-8| = 8\). 2. Calculate the division: \(15 \div 3 = 5\). 3. Add 2: \(5 + 2 = 7\). 4. Now, square the result: \(7^2 = 49\). 5. Now substitute back into the expression: \(8 - 49\). 6. Finally, subtract: \(8 - 49 = -41\). So, the simplified result is \(-41\).