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-24t+114=0
Combine t and -25t to get -24t.
-24t=-114
Subtract 114 from both sides. Anything subtracted from zero gives its negation.
t=\frac{-114}{-24}
Divide both sides by -24.
t=\frac{19}{4}
Reduce the fraction \frac{-114}{-24} to lowest terms by extracting and canceling out -6.