Brooks Rehabilitation’s home healthcare division will soon become Brooks AmeriCare Home Health with the acquisition of a large Jacksonville-based agency serving 23 counties in Northeast and Central Florida. Brooks Rehabilitation, which has the larger administrative structure, will absorb AmeriCare Home Health and its assets, which includes 10 satellite office locations. The purchase is expected to close in July. Brooks CEO Doug Baer would not disclose the terms of the deal, which he said was initiated by AmeriCare. Baer said in a phone interview Wednesday with the Business Journal that the move makes sense for Brooks, which operates an extensive network of post-acute rehabilitation services across Northeast Florida, while extending its geographic reach under both the Brooks and AmeriCare names. Launched in 2004, AmeriCare serves about 5,200 patients as far as Volusia County and west to Gainesville and Ocala. Brooks Rehab runs an inpatient hospital, 26 outpatient clinics, as well as other ancillary services, including Brooks Home Care.