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5t=45+8t-80
Use the distributive property to multiply 8 by t-10.
5t=-35+8t
Subtract 80 from 45 to get -35.
5t-8t=-35
Subtract 8t from both sides.
-3t=-35
Combine 5t and -8t to get -3t.
t=\frac{-35}{-3}
Divide both sides by -3.
t=\frac{35}{3}
Fraction \frac{-35}{-3} can be simplified to \frac{35}{3} by removing the negative sign from both the numerator and the denominator.