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work out
work out {v. phr.}
1. Находить ответ на что-л.
John worked out his math problems all by himself.
Mary had trouble getting along with her roommate, but they worked it out.
Ср.: FIGURE OUT.
2. Планировать; разрабатывать.
Mary worked out a beautiful design for a sweater.
Alice worked out a new hair-do.
3. Завершать; организовывать.
The engineers worked out a system for getting electricity to the factory.
4. Быть эффективным; доводить до результата.
If the traffic plan works out, it will be used in other cities too.
5. Упражняться, тренироваться.
John works out in the gym two hours every day.
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Источник: A Dictionary of American Idioms