Question
$$8k-5(-5k+3) = 0$$
Answer
$$ k = \dfrac{5}{11} $$
Explanation
$$ \begin{aligned} 8k-5(-5k+3) &= 0&& \text{simplify left side} \\[1 em]8k-(-25k+15) &= 0&& \\[1 em]8k+25k-15 &= 0&& \\[1 em]33k-15 &= 0&& \text{ move the constants to the right } \\[1 em]33k &= 15&& \text{ divide both sides by $ 33 $ } \\[1 em]k &= \frac{15}{33}&& \\[1 em]k &= \frac{5}{11}&& \\[1 em] \end{aligned} $$
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