$$ \begin{aligned} 9\cdot\frac{5}{6} &= w-2&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot9\cdot\frac{5}{6} &= 6w-6\cdot2&& \text{cancel out the denominators} \\[1 em]45 &= 6w-12&& \text{ swap the left and right side of the equation } \\[1 em]6w-12 &= 45&& \text{ move -12 to the right } \\[1 em]6w &= 45+12&& \\[1 em]6w &= 57&& \text{ divide both sides by $ 6 $ } \\[1 em]w &= \frac{57}{6}&& \\[1 em]w &= \frac{19}{2}&& \\[1 em] \end{aligned} $$

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