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Rashi on Deuteronomy 13:17/רש"י על דברים י״ג:י״ז
אלה' אלהיך. לִשְׁמוֹ וּבִשְׁבִילוֹ:
1לה' אלהיך [AND THOU SHALT BURN WITH FIRE THE CITY …] FOR THE LORD THY GOD — i.e. for the honor of His name and for His sake.