$$\frac{58}{10}k-\frac{115}{10} = \frac{33}{10}k+\frac{135}{10}$$

$$ \begin{aligned} \frac{58}{10}k-\frac{115}{10} &= \frac{33}{10}k+\frac{135}{10}&& \text{multiply ALL terms by } \color{blue}{ 10 }. \\[1 em]10 \cdot \frac{58}{10}k-10\cdot\frac{115}{10} &= 10 \cdot \frac{33}{10}k+10\cdot\frac{135}{10}&& \text{cancel out the denominators} \\[1 em]58k-115 &= 33k+135&& \text{move the $ \color{blue}{ 33k } $ to the left side and $ \color{blue}{ -115 }$ to the right} \\[1 em]58k-33k &= 135+115&& \text{simplify left and right hand side} \\[1 em]25k &= 250&& \text{ divide both sides by $ 25 $ } \\[1 em]k &= \frac{250}{25}&& \\[1 em]k &= 10&& \\[1 em] \end{aligned} $$

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