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\frac{\frac{1}{12}\left(-t-2\right)\left(5t-24\right)}{t+2}
Factor the expressions that are not already factored.
\frac{-\frac{1}{12}\left(5t-24\right)\left(t+2\right)}{t+2}
Extract the negative sign in -2-t.
-\frac{1}{12}\left(5t-24\right)
Cancel out t+2 in both numerator and denominator.
-\frac{5}{12}t+2
Expand the expression.
\frac{\frac{1}{12}\left(-t-2\right)\left(5t-24\right)}{t+2}
Factor the expressions that are not already factored.
\frac{-\frac{1}{12}\left(5t-24\right)\left(t+2\right)}{t+2}
Extract the negative sign in -2-t.
-\frac{1}{12}\left(5t-24\right)
Cancel out t+2 in both numerator and denominator.
-\frac{5}{12}t+2
Expand the expression.