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\frac{\left(z-7\right)\left(-z-7\right)}{z+7}
Factor the expressions that are not already factored.
\frac{-\left(z-7\right)\left(z+7\right)}{z+7}
Extract the negative sign in -7-z.
-\left(z-7\right)
Cancel out z+7 in both numerator and denominator.
-z+7
Expand the expression.
\frac{\left(z-7\right)\left(-z-7\right)}{z+7}
Factor the expressions that are not already factored.
\frac{-\left(z-7\right)\left(z+7\right)}{z+7}
Extract the negative sign in -7-z.
-\left(z-7\right)
Cancel out z+7 in both numerator and denominator.
-z+7
Expand the expression.