All your eardrums are doing are moving back and forth in a particular pattern to create the sound. This movement is created by air pressure changes.
Speakers move in that same pattern to send these pressure waves out into the air.
Think of a simpler record like an early 78RPM, played using a phonograph.
The stylus sits in the groove which is sliding past underneath with the rotation of the record and the movement of the groove moves the stylus side to side. That side to side movement is the same movement the speaker will do, and the same movement your eardrums will move with.
The only difference is in early phonographs this movement was transmitted mechanically up to a horn via a diaphragm [like this](https://www.clpgs.org.uk/uploads/4/9/3/8/49389291/_9550023.jpg)
Later record players right up to the modern day built on this basic principle.
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