# Real Root

Algebra Level 4

The real root of the equation $$8x^3 - 3x^2 - 3x - 1 = 0$$ can be written in the form $$\dfrac{\sqrt[3]a + \sqrt[3]b + 1}{c}$$, where $$a$$, $$b$$, and $$c$$ are positive integers. Find $$a+b+c$$.

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