How do I allow an entire category of solutions (85) to be seen by a user group?

How do I allow an entire category of solutions (85) to be seen by a user group?

I have recently added a user group (site and location), and we've rolled out a service to them. I'd like them now to be able to see all of the solutions within the service.  How can I grant them the access to all of those solutions without having to go into the solution, unpublishing and republishing to all.

If this can't be done from the front-end, how I do this from the back end using a query?

Thanks,
Adam
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