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To think of, consider, and prepare for all the details and aspects of some plan or idea. A noun or pronoun can be used between "think" and "out." Tom's thought out every angle—the plan is foolproof. I don't think you've thought this out completely. Maybe we should hold off on going through with it?
think something out
to think through something; to prepare a plan or scheme. This is an interesting problem. I'll have to take some time and think it out. We spent all morning thinking out our plan.
To develop some idea or plan fully: We thought out a new strategy after we lost the game. The author thought the plot out before starting to write the book.