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The killings happened the day after her birthday. Prosecutors believe that Mr. Balfour became enraged by balloons he saw at the home that he thought were from her new boyfriend.

Prosecutors said Mr. Balfour went inside the three-story house around 9 a.m. and shot Jennifer and Julia Hudson’s mother, 57-year-old Darnell Donerson, in the living room, then shot their 29-year-old brother, Jason Hudson, twice in the head as he lay in bed.

Investigators allege he then drove off in Jason Hudson’s sport utility vehicle with 7-year-old Julian inside, and later shot the boy in the head as he lay behind a front seat.

If convicted of at least two of the murder counts, Mr. Balfour would face a mandatory life sentence.