How can I unprotect these song files?

I have 11 songs in m4p format that I bought through iTunes. Unfortunately I bought them using my old computer, and the m4p format is so ridiculously protected that it won’t let me play these songs because my current computer is not “authorized” to do so.

I bought all these songs legally and now I can’t listen to them anymore. How can I remove the protection from these sound files? I’ve heard you can convert them to mp3s by burning to a CD then ripping it, but I’m not “authorized” to burn them either. Is there any way around this bullshit?