Question
$$66-\frac{66}{11}\cdot6 = 0$$
Answer
This equation has no solution.
Explanation
$$ \begin{aligned} 66-\frac{66}{11}\cdot6 &= 0&& \text{multiply ALL terms by } \color{blue}{ 11 }. \\[1 em]11\cdot66-11 \cdot \frac{66}{11}\cdot6 &= 11\cdot0&& \text{cancel out the denominators} \\[1 em]726-396 &= 0&& \text{simplify left side} \\[1 em]330 &= 0&& \\[1 em] \end{aligned} $$
Since the statement $ \color{red}{ 330 = 0 } $ is FALSE, we conclude that the equation has no solution.
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