Final answer:
The most likely underlying mechanism of weakness in this 65-year-old man is paraneoplastic syndrome caused by his lung cancer.
Step-by-step explanation:
The most likely underlying mechanism of weakness in this 65-year-old man is paraneoplastic syndrome caused by his lung cancer.
Paraneoplastic syndrome refers to a group of signs and symptoms that occur in cancer patients due to substances produced by the tumor or an immune response to the tumor.
In this case, the patient's muscle weakness is likely due to autoantibodies that are produced by the immune system in response to the lung cancer, which cross-react with the nerves and disrupt their function.