In examples such as "Without A, I can't do B" where, without Action A, there is no possibility of B If you don't obtain the permission of the teacher in charge, you cannot change your registered classes 〜(し)ないで、Aの動作をしないでは、Bの可能性はないという内容を表す
The foreign minister said "a relationship built on genuine mutual understanding means that without solving the territorial dispute and completing the peace treaty, we cannot secure construction works"