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24a+7.14-5.34a=0
Subtract 5.34a from both sides.
18.66a+7.14=0
Combine 24a and -5.34a to get 18.66a.
18.66a=-7.14
Subtract 7.14 from both sides. Anything subtracted from zero gives its negation.
a=\frac{-7.14}{18.66}
Divide both sides by 18.66.
a=\frac{-714}{1866}
Expand \frac{-7.14}{18.66} by multiplying both numerator and the denominator by 100.
a=-\frac{119}{311}
Reduce the fraction \frac{-714}{1866} to lowest terms by extracting and canceling out 6.