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4r-2-6r\geq 5
Subtract 6r from both sides.
-2r-2\geq 5
Combine 4r and -6r to get -2r.
-2r\geq 5+2
Add 2 to both sides.
-2r\geq 7
Add 5 and 2 to get 7.
r\leq -\frac{7}{2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.