## Precalculus (6th Edition)

$\color{blue}{\dfrac{6m-4}{3m-4}}$
Factor out $-1$ in the denominator of the subtrahend to obtain: $=\dfrac{m-4}{3m-4} - \dfrac{5m}{-1(-4+3m)} \\=\dfrac{m-4}{3m-4} - \dfrac{-5m}{3m-4}$ The expressions are similar so subtract the numerators and copy the denominator to obtain: $=\dfrac{m-4-(-5m)}{3m-4} \\=\dfrac{m-4+5m}{3m-4} \\=\color{blue}{\dfrac{6m-4}{3m-4}}$