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A company manufactures three types of cabinets, type A, type B, and type C.

Last week, the number of type B cabinets produced was 30 more than
1
2
the number of type A cabinets produced. The number of type C cabinets produced was 20 more than
3
2
times the number of type A cabinets produced.

If the company made the same number of type B and type C cabinets last week, then the number of type A cabinets produced was . The total number of cabinets produced last week was .

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