Hello I am attempting to set up 4 3-way switches to 6 lights and a fan. 2 of the 3 way switches will control 3 lights on the left side of the room and the other 2 3 way switches will control the 3 lights and fan on the right side of the room. However, the fan is only controlled by a remote control. I made a diagram of the way I think it should be wired. I didnt add anything to the fan because Im not sure how. Any help would be awesome.

I am having a ground loop with some electronic equipment because of running off two circuits. Not getting into the details of that (I have tried a lot of solutions and continuing to troubleshoot), one last ditch solution may be re doing the grounds for the two circuits, but I am not sure if this allowed by code (or a good idea in general). So here is the setup I am thinking about trying: 1. 20amp line to the room , 12/2 , one socket 2. 15mp line to the room, 14/2 , tons of sockets, lights, etc 3. Put both breakers on the same side of the main panel to keep in same phase 4. Now this is the part I am not sure about, can I run the ground from the 20amp socket to a 15amp socket (4inches away) and tie them together. Once they are tied, disconnect the 15amp ground from the main panel and only utilize the 20amp ground? I read something similiar to this when running multiple lines in a conduit but utilizing one ground. The only restriction was that the largest ground line be used. Overall this seems sketchy to me, but it would create a single ground for both circuits and hopefully remove the ground loop issue I am having. Be gentle :o