Midrasch zu Dewarim 12:17

2) Or go in this direction. It is written here "terumah," and, in respect to bikkurim (first-fruits) "terumah" (Devarim 12:17). Just as "terumah" of bikkurim has no limit, this, too, has no limit!

(Devarim 12:17) "You shall not be able to eat in your gates": R. Yehoshua b. Karchah says (in respect to "able"): I am able, but not permitted. A cognate instance is (Joshua 15:63) "But the Yevussi, the inhabitants of Jerusalem, they could not drive out": They could but they were not permitted to do so.

(Devarim 12:17) "your cattle and your flocks": This refers to sin-offerings and guilt-offerings. What does Scripture come to tech us? If (that it is forbidden) to eat sin-offerings and guilt-offerings outside the wall, this can be derived a fortiori from ma'aser. If that (they may not) be eaten before their blood is sprinkled, this may be derived a fortiori from thank and peace-offerings (lower-order offerings). If that a non-priest (may not eat of them) even after their blood had been sprinkled, this may be derived a fortiori from bechor, viz.: If bechor, a lower-order offering — if one eats of it (even) after its blood has been sprinkled, he transgresses a negative commandment, then sin and guilt-offerings, if one eats of them (even) after their blood has been sprinkled, how much more so does he transgress a negative commandment! The purpose of the verse, then, must be to teach us that if one eats a sin or guilt-offering outside the curtains (of the tabernacle) he transgresses a negative commandment.