To solve the expression \(2 - |1/3 \cdot -9| - 5\), we will follow these steps:
-
Calculate the multiplication inside the absolute value:
\[ \frac{1}{3} \cdot -9 = -3 \] -
Find the absolute value:
\[ |-3| = 3 \] -
Substitute this back into the original expression:
\[ 2 - 3 - 5 \] -
Now we can simplify this step-by-step:
\[ 2 - 3 = -1 \]
\[ -1 - 5 = -6 \]
So, the final answer is:
\[
\boxed{-6}
\]