Every single time I try to create a LAN world, my friend cannot join (and he has a computer right next to mine that is a HP).
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That's not Minecraft problem. It is your internet box that isn't programed to support LAN. You need to configure it properly. Or in your firewall, Minecraft is disabled in private networks. Hope I helped you !
EDIT : I'm on Windows, maybe it is not the same on Mac :/