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9-8w+2w<21
Add 2w to both sides.
9-6w<21
Combine -8w and 2w to get -6w.
-6w<21-9
Subtract 9 from both sides.
-6w<12
Subtract 9 from 21 to get 12.
w>\frac{12}{-6}
Divide both sides by -6. Since -6 is negative, the inequality direction is changed.
w>-2
Divide 12 by -6 to get -2.