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What was Marxs algebraic solution to the transformation problem?

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What was Marxs algebraic solution to the transformation problem?

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Marx’s solution to the transformation problem is in chapter 9 of the third volume of Capital, in Part II (Chapter VIII, Section 6 and Chapter XV, Section 5) of Theories of Surplus Value, and in a letter to Engels (2 August 1862). Marx presents his solution by means of various examples, the most straightforward from the third volume being presented in the table below.

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