percy, you wrote this:

>>
hi, i'm chilean and am lerning to play piano by myself... my question is why on seccion " the basics" the  c7 is ( e - g- bb - d ) and the same note on seccion  "simple blues" is e  - a -bb - d).???? thanks, percy
<<

the answer is that those are both c7 chords with different extensions(extensions are 9ths, 11ths and 13ths), but both, in jazz terms, are c7 chords.   jazz chord charts usually just give you the chord symbol with the seventh and leave it up to you which extensions you want to add on top of it.

technically though, the chords have different names, the (e-g-bb-d) chord is a c9 chord because only the 9th extension (the 'd') is added.  the (e-a-bb-d) chord is a c13, because the 9th and the 13th (the 'a') are added.  sometimes a chord chart will tell you specifically to play, say a c9 or c13, and that's just the arranger wanting to emphasize that that chord sounds good in the arrangement.

if your not familiar with 9ths, 11ths, and 13ths (or roots, 3rds, 5ths, and 7ths for that matter), here's a link to a lesson on the learnjazzpiano.com site that might help:

https://www.learnjazzpiano.com/citadel/scotcit.mvc?room_desc=1&room_id=1074922438&hall_id=1074921458

good luck!
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