Question
$$42\cdot50-33\cdot\frac{3333}{7}\cdot1686 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 42\cdot50-33\cdot\frac{3333}{7}\cdot1686 &= 0&& \text{multiply ALL terms by } \color{blue}{ 7 }. \\[1 em]7\cdot42\cdot50-733\cdot\frac{3333}{7}\cdot1686 &= 7\cdot0&& \text{cancel out the denominators} \\[1 em]14700-185441454 &= 0&& \text{simplify left side} \\[1 em]-185426754 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ -185426754 = 0 } $ is FALSE, we conclude that the equation has no solution.
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