Deuteronómio 12:27 Comentario: Rashi, Chizkuni, Ibn Ezra & Siftei Chakhamim

ועשית עלתיך AND THOU SHALT OFFER THY BURNT OFFERINGS — i.e. if they (thy sacrifices) be burnt offerings, put the flesh as well as the blood on the altar, but if they are peace offerings, then “the blood of thy sacrifices shall be poured” first on the altar and afterwards you may eat the flesh. Furthermore did our Rabbis deduce that [the words] “thy sacrifices, however, [thou shalt bear, etc.]” are intended to teach with regard to consecrated animals that are outside the Land (abroad) as well as regards such animals that have been exchanged for other consecrated animals, and finally regarding the young of consecrated animals that [all] such must [also] be offered [in Jerusalem] (Sifrei Devarim 77:1; Bekhorot 14b).

ודם זבחיך, “and the blood of your meat offerings,” this is a reference to the socalled sh’lamim, “peace offerings,” (consumed in the main by the donors)

you may eat the meat Scripture addresses the Kohanim, in the case of a firstling, or a sin-offering, or a guilt-offering. In the case of a peace-offering, only the thigh and the breast are meant, the greater part of it being eaten by an ordinary Israelite.