A:Answer Hi Nick,
This mount has post-install horizontal shift that means you can center your TV between wood studs up to 24" apart. So you would be able to attach it to the center stud and then either the right or left one. With that being said it may not be dead center on that middle stud like you'd like. I would recommend a single-arm mount like the BMF320-B1. With a single-arm mount, you could drill into that center stud and have it perfectly centered as it only needs to be drilled into one stud.
Thanks,
- Haydn @ SANUS