$$ \begin{aligned} 2 \cdot \frac{l}{52}+9 &= 6&& \text{multiply ALL terms by } \color{blue}{ 52 }. \\[1 em]52\cdot2 \cdot \frac{l}{52}+52\cdot9 &= 52\cdot6&& \text{cancel out the denominators} \\[1 em]2l+468 &= 312&& \text{ move 468 to the right } \\[1 em]2l &= 312-468&& \\[1 em]2l &= -156&& \text{ divide both sides by $ 2 $ } \\[1 em]l &= -\frac{156}{2}&& \\[1 em]l &= -78&& \\[1 em] \end{aligned} $$

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