I don’t know for sure whether 10%-20% across the board tariffs would reduce the US’ (multilateral) trade deficit. As an old English proverb, and I think Keynes, says, “There's many a slip 'twixt the cup and the lip.” Interational balance of payments has lots of moving parts.

You can tell the story Krugman tells. You can argue that countervailing tariffs by foreign countries will cause US exports to fall more than imports do. 4/