First off lets flip the equation \frac{1}{9g} +\frac{1}{9h} +\frac{-1}{9k} =f
Now add (-1)/9g to both sides \frac{1}{9g} +\frac{1}{9h} +\frac{1}{9k} +\frac{-1}{9g} =f+\frac{-1}{9g}
\frac{1}{9h} +=\frac{-1}{9k} =f+\frac{-1}{9g}
Now add \frac{1}{9k} to both sides. \frac{1}{9h} +\frac{-1}{9k} +\frac{-1}{9k} =f+\frac{-1}{9g} \frac{1}{9k} \frac{1}{9h} =f+\frac{-1}{9g} +\frac{1}{9k}