It happened around 9 p.m. Friday night on the 6100 block of Ardleigh Street.
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Police say a 24-year-old man was found on the property of the Awbury Recreation Center suffering from a gunshot wound to the chest.
He was pronounced dead at the scene.
Police say a weapon was recovered and an arrest was made.
There was no immediate word on what sparked the shooting.
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The victim has not been identified.
This is the second shooting outside of a recreation center this week.
On Thursday, an attempted car theft led to a neighborhood shootout outside of Lawncrest Recreation Center .
No one was injured in that incident, but police say a bullet entered nearby day care that was occupied with children.