I don't know about your trailer specifically, but most trailers I've seen have buttons labeled A, B, and C on their radio, etc., units. The C button normally controls outside speakers. Press the C button to turn off the light at C and the speakers should be silent.
Easy as ABC. Lol. Let us know if that doesn't do it. A is usually living room speakers, B is bedroom and, like Mr Dan says, C is outside. You can use any combination by selecting a, b, c.
If this doesn't do it, post a picture of your stereo.
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Just picked up our 6504 and all you need to do is go into the setup menu and use the speaker fade control selection. Front is for the inside speaker level and Rear is for the outside level. Just turn the Rear off and use full Front level.
Good luck.
Thanks so much for the replies. My stereo doesn't have the a/b/c option. I think it is probably the cheapest one they could find to put in. I tried the front rear balance and that doesn't seem to work either. I'll keep messing around with it and see if I can figure something out.
Someone on here a few days ago had a unit that was wired improperly and was using the left to right balance controls. If that doesn't work the only other thing I could think of is look for a menu button and scroll around.