To solve the expression \( 2 - |13 \cdot -9| - 5 \), let's break it down step by step.
First, calculate \( |13 \cdot -9| \):
- \( 13 \cdot -9 = -117 \)
- The absolute value of \(-117\) is \(117\).
Now, substitute this back into the expression: \[ 2 - |13 \cdot -9| - 5 = 2 - 117 - 5 \]
Next, perform the arithmetic:
- \( 2 - 117 = -115 \)
- \( -115 - 5 = -120 \)
Thus, the final answer is: \[ \boxed{-120} \]