Solve for w
w<-\frac{19}{9}
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36w+54<18w+16
Use the distributive property to multiply 9 by 4w+6.
36w+54-18w<16
Subtract 18w from both sides.
18w+54<16
Combine 36w and -18w to get 18w.
18w<16-54
Subtract 54 from both sides.
18w<-38
Subtract 54 from 16 to get -38.
w<\frac{-38}{18}
Divide both sides by 18. Since 18 is positive, the inequality direction remains the same.
w<-\frac{19}{9}
Reduce the fraction \frac{-38}{18} to lowest terms by extracting and canceling out 2.
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