Formal:
* Reinterpret: This emphasizes a new understanding or analysis of something.
* Reframe: This focuses on presenting a new perspective or angle.
* Reconceptualize: This implies a significant change in how something is thought about.
* Redefine: This suggests a new definition or meaning is being assigned.
* Articulate: This highlights the process of clearly explaining something in a new way.
Informal:
* Explain differently: This is a direct and straightforward way to say it.
* Put a new spin on: This implies a more creative or persuasive explanation.
* Break it down: This suggests simplifying the explanation.
* Clarify: This focuses on making the explanation more understandable.
Other possibilities:
* Rephrase: This simply means to say something in different words.
* Reformulate: This implies a more structured or precise explanation.
* Elaborate on: This emphasizes adding more detail or information to an existing explanation.
To choose the best word, consider:
* The context: What is the purpose of the new explanation?
* The audience: Who are you explaining it to?
* The level of formality: What tone are you trying to convey?
Let me know if you can give me some more context, and I can give you a more specific suggestion.