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6r+1-3r\geq -5
Subtract 3r from both sides.
3r+1\geq -5
Combine 6r and -3r to get 3r.
3r\geq -5-1
Subtract 1 from both sides.
3r\geq -6
Subtract 1 from -5 to get -6.
r\geq \frac{-6}{3}
Divide both sides by 3. Since 3 is positive, the inequality direction remains the same.
r\geq -2
Divide -6 by 3 to get -2.