$$-11 = a-\frac{5}{6}$$

$$ \begin{aligned} -11 &= a-\frac{5}{6}&& \text{multiply ALL terms by } \color{blue}{ 6 }. \\[1 em]6\cdot(-11) &= 6a-6\cdot\frac{5}{6}&& \text{cancel out the denominators} \\[1 em]-66 &= 6a-5&& \text{ swap the left and right side of the equation } \\[1 em]6a-5 &= -66&& \text{ move -5 to the right } \\[1 em]6a &= -66+5&& \\[1 em]6a &= -61&& \text{ divide both sides by $ 6 $ } \\[1 em]a &= -\frac{61}{6}&& \\[1 em] \end{aligned} $$

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