When it comes to problem-solving, thinking through is an essential task that requires careful consideration and reflection. However, there are several synonyms that can be used in place of thinking through based on the context and the genre of the text. For example, pondering is a synonym that refers to thoughtful reflection or contemplation. Considering, weighing, and examining are other synonyms that imply evaluating a concern from various angles. Furthermore, conceptualizing, analyzing, and strategizing are synonyms that suggest a more systematic or structured approach to problem-solving. Overall, there are several alternatives to thinking through, and choosing the right synonym requires a thorough understanding of the context and the writer's intention.