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Solve for d
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-2d+1>8
Swap sides so that all variable terms are on the left hand side. This changes the sign direction.
-2d>8-1
Subtract 1 from both sides.
-2d>7
Subtract 1 from 8 to get 7.
d<-\frac{7}{2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.