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Psalm 16:4
Their sorrows shall be multiplied that hasten after another god: their drink offerings of blood will I not offer, nor take up their names into my lips. (Psalm 16:4)
Drink offerings of blood.
 Whereas wine was used as a “drink offering” in the worship of Jehovah (Ex. 29:40; Num. 15:5, 7), this phrase seems to imply that the blood of animals was used for a similar purpose by the heathen. To the Hebrew this was a repulsive idea (see Gen. 9:4; Lev. 3:17; 7:26). David would have no part whatsoever in the worship of heathen gods. He would not even soil his lips by mentioning their names.
Sorrows.
Those who choose another god than Jehovah will have continued sorrow, whereas the psalmist receives only good from the one true God.