Simplify (-4(z-5))/((z-5)(z+2))

$\frac{- 4 (z - 5)}{(z - 5) (z + 2)}$

Cancel the common factor of $z - 5$ .

Cancel the common factor.

$\frac{- 4 (z - 5)}{(z - 5) (z + 2)}$

Rewrite the expression.

$\frac{- 4}{z + 2}$

Move the negative in front of the fraction.

$- \frac{4}{z + 2}$