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\frac{7m\left(x^{2}-16\right)}{9\left(x-4\right)\left(8m^{2}-2m\right)}
Divide \frac{7m}{9\left(x-4\right)} by \frac{8m^{2}-2m}{x^{2}-16} by multiplying \frac{7m}{9\left(x-4\right)} by the reciprocal of \frac{8m^{2}-2m}{x^{2}-16}.
\frac{7m\left(x-4\right)\left(x+4\right)}{2\times 9m\left(x-4\right)\left(4m-1\right)}
Factor the expressions that are not already factored.
\frac{7\left(x+4\right)}{2\times 9\left(4m-1\right)}
Cancel out m\left(x-4\right) in both numerator and denominator.
\frac{7x+28}{72m-18}
Expand the expression.
\frac{7m\left(x^{2}-16\right)}{9\left(x-4\right)\left(8m^{2}-2m\right)}
Divide \frac{7m}{9\left(x-4\right)} by \frac{8m^{2}-2m}{x^{2}-16} by multiplying \frac{7m}{9\left(x-4\right)} by the reciprocal of \frac{8m^{2}-2m}{x^{2}-16}.
\frac{7m\left(x-4\right)\left(x+4\right)}{2\times 9m\left(x-4\right)\left(4m-1\right)}
Factor the expressions that are not already factored.
\frac{7\left(x+4\right)}{2\times 9\left(4m-1\right)}
Cancel out m\left(x-4\right) in both numerator and denominator.
\frac{7x+28}{72m-18}
Expand the expression.