Reporting from San Francisco — The California Supreme Court decided unanimously Thursday to uphold the death sentence of a chronically depressed mother who killed three of her children before shooting herself in the head.

In a decision written by Justice Mariano-Florentino Cuellar, the state high court affirmed the death sentence of Socorro Susan Caro for shooting to death Joey, 11, Michael, 8, and Christopher Caro, 5 at her Camarillo home. Her fourth child, who was 1, was unharmed.

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“Had these statements been omitted, moreover, it would have been unlikely to affect consideration of the case’s compelling forensic evidence,” Cuellar wrote. “Expert testimony about the bloody clothes Caro was found wearing provided a wealth of incriminating information.”