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It is known that3⋅5⋅373−16=a3−b3−c, 3\cdot \sqrt{5\cdot\sqrt[3]{37}-16} = \sqrt[3]{a} - \sqrt[3]{b} - c, 3⋅5⋅337−16=3a−3b−c,
where a,ba, ba,b and ccc are positive integers. What is the value of a+b+c?a+b+c ?a+b+c?
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