Sacudían comes from the verb sacudir, which means "to shake" or "to shake off". It's a very physical and evocative word that you don't often find in romantic songs.
In "La Distancia", Manuel Medrano sings, "...como tus manos sacudían todos esos problemas de mí" (how your hands would shake all those problems off of me). He uses this powerful image to describe how a lover's touch could literally make all his worries disappear, creating a beautiful and memorable picture of comfort and relief.
Colombian pop singer Manuel Medrano brings a warm, nostalgic mood to "La Distancia", looking back on a past romance with a mix of longing and stubborn hope. The song kicks off with physical memories: how soft his ex's skin felt and how her hands had a way of clearing his mind, specifically saying "tus manos sacudían todos esos problemas de mí" ("your hands shook all those problems out of me"). He admits that life felt harsh back then, but being around her made him forget "lo cruel que era el mundo" ("how cruel the world was"). Even though they are separated now, those kisses still linger in his mind.
Instead of treating this breakup as a final goodbye, he clings to a secret pact they made. He repeats the plea "Ojalá que nunca se te olvide / A donde quedamos de encontrarnos" ("I hope you never forget where we agreed to meet"). He pictures a reunion "allá en el futuro donde nadie conoce" ("there in the future where nobody knows"), banking on the idea that time and space can fix "todo lo que nos hicimos ayer" ("everything we did to each other yesterday"). It is a sweet, almost desperate promise that once they finally lock eyes again, all the hurt will vanish and it will feel like their story never actually ended.