Step 1 :The problem is asking to evaluate the expression \(m^{2}-6 m-5\) when \(m=3\).
Step 2 :Substitute \(m=3\) into the expression: \((3)^{2}-6(3)-5\).
Step 3 :Simplify the expression to get the final result: \(-14\).
Step 4 :The result of the expression \(m^{2}-6 m-5\) when \(m=3\) is \(\boxed{-14}\).