How do you approach multiple interpretations of the same Tanakh passage?

I’ve noticed that many passages in the Tanakh, especially in Psalms (particularly those sometimes interpreted as prophecies) and the prophetic books, have a wide range of interpretations. Some seem to complement each other, while others appear contradictory.

From a Jewish perspective, how do you approach these differing interpretations? Do you adopt the one you find most probable and reject the others? Or do you see them as potentially complementary? If so, how do you handle interpretations that seem to contradict each other?

I ask this with genuine curiosity and respect, as I often come across a great diversity of opinions regarding certain biblical passages.

Thanks in advance.