Final answer:
The New Kingdom temples at Luxor and Karnak were primarily dedicated to the god Amun-Re, a combination of the Theban patron god Amun and the sun god Re.
Step-by-step explanation:
The New Kingdom temples at Luxor and Karnak were dedicated to the god Amun-Re. This deity was a fusion of the earlier god Amun, a sky god and the patron of Thebes, and the sun god Re, the creator god who was worshipped in the north of Egypt. The Temple of Amun-Re and the Hypostyle Hall at Karnak are some of the most notable structures that honor this deity, showcasing the importance of Amun-Re as the king of the gods and the father of the reigning pharaoh during the New Kingdom era, which lasted from approximately 1550 until 1070 BCE.