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To solve for r, we need to isolate r on one side of the equation. We can do this by adding 6 to both sides of the equation:
r^5 - 6 + 6 = -1 + 6
This simplifies to:
r^5 = 5
To solve for r, we need to take the fifth root of both sides of the equation:
r = ∛5
Therefore, the solution for r is r = ∛5.