Where does “bewegen” come from?

bewegen (German) comes from Middle High German bewegen, from Old High German biwegan, from Proto-West Germanic wegan, from Proto-Germanic weganą, from Proto-Indo-European weǵʰ- — to bring; to transport.

bewegen (German): to motivate; to persuade; to prompt (someone or something to do something); to make (someone or something to do something); to induce; to get (someone or something to do something)