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\frac{\left(z+7\right)\left(z+8\right)}{z\left(z-6\right)\left(z+8\right)}
Factor the expressions that are not already factored.
\frac{z+7}{z\left(z-6\right)}
Cancel out z+8 in both numerator and denominator.
\frac{z+7}{z^{2}-6z}
Expand the expression.
\frac{\left(z+7\right)\left(z+8\right)}{z\left(z-6\right)\left(z+8\right)}
Factor the expressions that are not already factored.
\frac{z+7}{z\left(z-6\right)}
Cancel out z+8 in both numerator and denominator.
\frac{z+7}{z^{2}-6z}
Expand the expression.