However, we define trade deficits to exclude financial transactions for various reasons.
You cannot import something without exporting something else. That something else, in almost 100% of the situations, is dollars.
I'd be happy to see a link that does.
Trade networks allow for stable equilibriums with no individual country having equal trade with any other county. To simplify, A on net sends money to B, and B buys stuff from C with A’s currency, C then buys stuff from A in A’s currency returning that money to A. However, people want to operate in their native currency and there are a lot more than 3 countries in the real world so you end with intermediary currency exchanges changes going on. In theory supply and demand steps in to balance things, in practice cash flows rarely actually sum to 0.
International finance is almost entirely about balancing the current and capital accounts [1].
The trade deficit is just one part of the current account [2]. Zeroing out the trade balance ceteris paribus requires a change in the capital account, i.e. foreign ownership of domestic assets and/or domestic ownership of foreign assets. If we’re just reducing the current account with tariffs, that means reducing both. Necessarily. This is one of the closest things to a law economics offers because it’s based on identities. The only run-around to it is the reserve account printing domestic currency, and we know how that goes.
[1] https://www.investopedia.com/ask/answers/031615/whats-differ...
Is it that hard to admit that you didn't properly read the comment you responded to?
This is incorrect when your national currency happens to be the global reserve currency. All it requires is for the other country to be willing to accept dollars in payment.
[ EDIT: even that's wrong. All it requires is someone being willing to accept dollars, either in payment or as part of a currency exchange. ]