A Clinical Study of MK-4716 in People With Certain Solid Tumors (MK-4716-001)

Inclusion Criteria: * Subset of arm MK-4716 Dose Escalation and subset of arm MK-4716 + Cetuximab: Has a confirmed diagnosis of locally advanced unresectable or metastatic solid tumor * Subset of arm MK-4716 Dose Escalation and subset of arm MK-4716 + Cetuximab: Must demonstrate presence of Kirsten rat sarcoma viral oncogene homolog (KRAS) alteration * Subset of arm MK-4716 Dose Escalation and subset of arm MK-4716 + Cetuximab: Has received at least 1 prior line of systemic therapy for locally advanced unresectable or metastatic disease * Arm MK-4716 + Pembrolizumab: Has a confirmed diagnosis of metastatic non-small cell lung cancer * Arm MK-4716 + Pembrolizumab: Must demonstrate presence of KRAS alteration * Arm MK-4716 + Pembrolizumab: Must be untreated * Arm MK-4716 + Cetuximab: Must be eligible for cetuximab * Has measurable disease * Has the ability to swallow and retain oral medication Exclusion Criteria: * Arm MK-4716 + Pembrolizumab: Has a diagnosis of immunodeficiency or is receiving chronic systemic steroid therapy (in dosing exceeding 10 mg daily of prednisone equivalent) or any other form of immunosuppressive therapy within 7 days prior to the first dose of study intervention * Arm MK-4716 + Pembrolizumab: Has received any prior immunotherapy and was discontinued from that treatment * Arm MK-4716 + Pembrolizumab: Has active autoimmune disease that has required systemic treatment in the past 2 years. Hormonal supplementation (eg, thyroxine, insulin, or physiologic corticosteroid) is allowed * History of human immunodeficiency virus infection * Has a known additional malignancy that is progressing or has required active treatment within the past 2 years * Has a known active central nervous system metastases and/or carcinomatous meningitis * History of (noninfectious) pneumonitis/interstitial lung disease that required steroids or has current pneumonitis/interstitial lung disease * Has active infection requiring systemic therapy * Has Hepatitis B or Hepatitis C virus infection * History of stem cell/solid organ transplant * Has not adequately recovered from major surgery or has ongoing surgical complications