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There are many reasons never to tell a lie, but a big one is this: someday you will have a truth to tell that will be very hard to believe, and it will be important, and when that happens you want others to be able to trust you completely. Even one lie will compromise trust.
This is exponentially more true when you're in a leadership position in the middle of a crisis, and people's lives depend on everyone believing what you say. Gaining and maintaining trust is everything for a leader.
