Answer: No te puedo Invitar a la fiesta.
Explanation: The sentence "no te puedo ___ a la fiesta" means something like "i can not ___ you to the party"
The options given are:
estar, which is translated to "be"
poder, which is translated to "can"
Invitar, which is translated to "invite"
discutir, which means "argue"
The only one that makes sense in the context of the sentence is "invite", where. in English the sentence would be:
"I can not invite you to the party" or, in Spanish, "No te puedo invitar a la fiesta"