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Hmmm... push the relevant pins out, solder the wires to the pins, and reinsert.

Right, couldn't be simpler, and the cost to you is zero, you can do it immediately without having to wait for the parts to come in, and the reliability of the result is 100 percent.

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I suppose that could work, but is it possible to just buy new pins and redo the crimps properly?

*BOGGLE*. Why would you want to do that? First of all, the crimps are meant to be done with a certain kind of tool that you most likely don't have. And even if you did have it, or even if you were very good doing it with a pair of pliers, your crimp might come undone just like the last one. The whole point of soldering is so that you're certain the crimps won't come undone.
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Tony Fabris