The math that underpins a credit card, mortgage, bond, etc, etc, is all the same. The values are different. The terms are different. Some of them have complex add on functions, etc.
But at the end of the day it's all compounding interest. And there's so much of it in both volume and diversity and inter-connected requirements that nobody can accurately predict the behavior of the system in response to large changes or over large timelines. And then of course the government controls the currency (but what it can do is limited to some degree) so that adds even further complexity.
A credit card or any other "normal" debt is a fine starting point for understanding.
I greatly look forward to your explanation of how it's "just plain wrong"
Other individual already nailed the response in this thread - so it's not worth repeating. They made the astute observation that the credit card was a grossly simplified example pointing that debt compounds even if the system is opaque, messy and main varied timelines.
I will add to your comment that printing more money by the government makes the people less wealthy in terms of true wealth. It is not a solution to get you out of the woes of heavy debt load as you pitched.
That said it sounds like you are a proponent of MMT - instead of one off pithy remarks, can you put forward a defensible position?
Your comment is likely in bad faith.