I found the base system (skill tests and such) pretty easy to pick up. Sure, you could be rolling a bucket of d6s, but you don't have to add them up, you just separate out the 5s and 6s and then count the number of dice. In the game I played (with people who'd never played SR before), it went very quickly.
I'm still trying to wrap my head around the Maxtrix, Hacking, and the Magic system. I'm hoping I'll find some people to play with with experience in those areas. I learn games better by playing them rather than just reading the rules.
Love the fluff though. If you invest anymore money into it, I HIGHLY recommend Seattle 2072.
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