Learn Dutch: Met mijn eigen kapitaal ben ik financieel onafhankelijk. - With my own capital I am financially independent.

In modern Dutch, eigen almost never gets an -e ending when it means "own" and follows a possessive pronoun like mijn. It stays exactly as eigen regardless of whether the noun is a de-word or a het-word (like het kapitaal).

Why is the verb order ben ik instead of ik ben?

Because the sentence starts with the prepositional phrase Met mijn eigen kapitaal (With my own capital). In Dutch, putting anything other than the subject in the first position of the sentence triggers inversion, meaning the verb must come before the subject (ben ik).

Why doesn't financieel have an -e at the end?

In this sentence, financieel is acting as an adverb to describe how you are independent (financially independent). In Dutch, an adjective used as an adverb stays in its base form and does not get an -e ending.

How can I break down and remember the long word onafhankelijk?

The prefix on- means "in-" or "un-". The core word is afhankelijk (dependent), which comes from the separable verb afhangen (to depend). Putting it all together makes it "independent".