What is the solution to the equation cube root of m minus 4 minus cube root of 2 m plus 8 is equal to 0 ?

Set the two cube roots equal: ∛(m − 4) = ∛(2m + 8). Since the cube-root function is one-to-one, their radicands must be equal, so m − 4 = 2m + 8. Solving gives m = −12, which is choice D.

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