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Solve for d
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4d+1-6d<-7
Subtract 6d from both sides.
-2d+1<-7
Combine 4d and -6d to get -2d.
-2d<-7-1
Subtract 1 from both sides.
-2d<-8
Subtract 1 from -7 to get -8.
d>\frac{-8}{-2}
Divide both sides by -2. Since -2 is negative, the inequality direction is changed.
d>4
Divide -8 by -2 to get 4.