Blackbody Spectrum: 2 Questions Answered

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Hi all,
I have 2 questions related to the blackbody spectrum.
1 - If a blackbody emits (and absorbs) energy at all wavelengths equally, why does the spectrum look the way it does (i.e. why does it peak in intensity at a given wavelength?)
2 - The fact that the cosmic background radiation possesses a blackbody spectrum supposedly suggests that the universe had a hot origin. Why is this?

Thanks
 
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