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16a+3000-30a>180
Use the distributive property to multiply 30 by 100-a.
-14a+3000>180
Combine 16a and -30a to get -14a.
-14a>180-3000
Subtract 3000 from both sides.
-14a>-2820
Subtract 3000 from 180 to get -2820.
a<\frac{-2820}{-14}
Divide both sides by -14. Since -14 is negative, the inequality direction is changed.
a<\frac{1410}{7}
Reduce the fraction \frac{-2820}{-14} to lowest terms by extracting and canceling out -2.