To solve the expression \( 2 - |13 \cdot -9| - 5 \), we will follow these steps:
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Calculate the product inside the absolute value: \[ 13 \cdot -9 = -117 \]
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Determine the absolute value: \[ |-117| = 117 \]
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Substitute this back into the expression: \[ 2 - 117 - 5 \]
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Now perform the calculations step by step:
- First, calculate \( 2 - 117 \): \[ 2 - 117 = -115 \]
- Next, subtract 5 from -115: \[ -115 - 5 = -120 \]
Thus, the final answer is: \[ \boxed{-120} \]