Think of a STAR topology.
Where the +/- connections of the power supply go to a terminal strip or barrier connector. —-> Then the separate + and - wires fan out to each LED strip.
The 0V/Gnd wire is also COMMON to the Arduino/driver circuitry.
ADDED: You may consider fuse(s) in the + wires, so that one damaged LED branch doesn’t bring the whole lot down. 32A / 160W in a small space is easily enough to start a ‘thermal event’ (aka Fire) !