[来る → こ] + ずには済まない
The grammar patterns ずには済まない and ないでは済まない express that something must inevitably happen, that one cannot get away without doing something, or that a situation will not be resolved unless a certain action is taken. The nuance is that due to social expectations, moral obligation, or the nature of the circumstances, the action is unavoidable.
すむ済む (すむ) means "to be settled" or "to be resolved," so the literal sense is "it won't be settled without doing ~" – i.e., **one can't avoid doing it**.Both forms are interchangeable in meaning, though ずには済まない sounds slightly more literary/formal.
This pattern often conveys that one must do something out of a sense of duty, conscience, or social propriety – stronger than simply "should."
It can also describe situations where something will inevitably happen due to the nature of circumstances – the outcome is unavoidable.