|Can you play other CD's on these machines?|
Is it a CD-R or a CD-RW?
It might need burning at a slower speed onto a CD-R and finalized, preferrably using a different brand CD. Sometimes CD drives do not like particular brands, although if that is the cause I'm a little surprised that it can't be played on either machine.
If other CD's play and you can't get it burnt again, then the free version of ISO buster should allow you to get the file(s) off it, which, if required, you can then use to create a new CD on your own machine. It's a bit of a fiddling process with the freebie but it usually does the trick.
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