The right side factory negative cable has a small wire that goes to a couple of gray connectors.
You will need to cut the wire going to these connectors off and splice it to the new cable or otherwise to make that connection.
Our cable is shipped with the connector and heat shrink so you can make the connection. A standard hand-tool wire crimper should work fine on the 6 gauge wire we send.
Here is a schematic view of the cable:
For reference, here is a picture of the actual Dodge Ram battery cable:
Here is a detail of the connector on the Dodge Ram battery cable: