$$ \begin{aligned} k+\frac{2}{11}+10 &= 3 \cdot \frac{k}{8}&& \text{multiply ALL terms by } \color{blue}{ 88 }. \\[1 em]88k+88\cdot\frac{2}{11}+88\cdot10 &= 88\cdot3 \cdot \frac{k}{8}&& \text{cancel out the denominators} \\[1 em]88k+16+880 &= 33k&& \text{simplify left side} \\[1 em]88k+896 &= 33k&& \text{move the $ \color{blue}{ 33k } $ to the left side and $ \color{blue}{ 896 }$ to the right} \\[1 em]88k-33k &= -896&& \text{simplify left side} \\[1 em]55k &= -896&& \text{ divide both sides by $ 55 $ } \\[1 em]k &= -\frac{896}{55}&& \\[1 em] \end{aligned} $$

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