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\frac{2\left(z+1\right)\left(z+4\right)}{10\left(-z-4\right)}
Factor the expressions that are not already factored.
\frac{-2\left(-z-4\right)\left(z+1\right)}{10\left(-z-4\right)}
Extract the negative sign in 4+z.
\frac{-\left(z+1\right)}{5}
Cancel out 2\left(-z-4\right) in both numerator and denominator.
\frac{-z-1}{5}
Expand the expression.
\frac{2\left(z+1\right)\left(z+4\right)}{10\left(-z-4\right)}
Factor the expressions that are not already factored.
\frac{-2\left(-z-4\right)\left(z+1\right)}{10\left(-z-4\right)}
Extract the negative sign in 4+z.
\frac{-\left(z+1\right)}{5}
Cancel out 2\left(-z-4\right) in both numerator and denominator.
\frac{-z-1}{5}
Expand the expression.