I find that a ton of people actually play games on the lowest difficulty just to get through the story, admittedly, I do this also. If I enjoy the story then I will replay it on the hardest difficulty and beat it again.
Which comes first for you?
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Hard to decide. If a game has an excellent story but horrid gameplay, I might be put off the story. If the gameplay is amazing but the story sucks, the game might seem bland. Ultimately, I think I'm going with story though. It's the main reason I buy most of my games.