  We investigate the structure of the minimal displacement set in $8$-located
complexes with the SD'-property. We show that such set embeds isometrically
into the complex. Since $8$-location and simple connectivity imply Gromov
hyperbolicity, the minimal displacement set in such complex is systolic. Using
these results, we construct a low-dimensional classifying space for the family
of virtually cyclic subgroups of a group acting properly on an $8$-located
complex with the SD'-property.
