Read it backwards. That's the easiest way to spot technical errors, especially for people like me who don't care about the little things.
Go back and read your paper the next day and imagine it isn't yours. Imagine that you're writing something for the back of a paper back novel (or whatever works) and it helps to clear up sloppy mistakes like redundancies.
I'm not great at being linear, either. I hate doing straight-up research with very little interpretation or analysis. I find it dry as fucking hell.