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If you draw the Lewis structure, there should be 28 e- (21 from the 3 fluorine, 7 from bromine). The bromine is bonded to each of the 3 fluorine atoms by a single bond. That leaves 4 electrons which are put around the bromine atom as 2 lone pairs. This gives a total of 5 regions of electron density (3 single bonds + 2 lone pairs). A hybrid structure with 5 regions of electron density forms sp3d hybrid orbirals.