Svanr would like you to accompany him when he leaves the east gate of Moria.
'It is time for us to set foot in the open air once more. I do not know about you, but I never thought Khazad-dûm would be so deadly.
'I am glad I will have completed my venture across all of it, but gladder still to have made it out alive. Come, ${PLAYER}! Let us go smell the fresher air.'
Svanr is in the First Hall of Moria, in Nud-melek.
You should speak with Svanr to travel into the Dale.