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To negotiate in order to reach an agreement on something
“Let's work something out so we can call an end to any unnecessary hostilities between us.”
To reach an agreement on something (after negotiations)
“After hours of discussions, the two parties would finally work something out.”
To understand of figure out the meaning or machinations of something
“When it comes to science, in-depth analysis is typically required to work something out.”
To formulate a plan to deal with an issue
“We need a solution to this. Can you work something out? A plan of action, perhaps?”
To solve a sum or determine an amount by calculation
“In terms of a budget, we can work something out once we have an understanding of your cash flow.”
To find a solution to a problem through thinking or analysis
To make secret plans, typically underhandedly and jointly with others
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