Answer:
To simplify the expression \(\dfrac{1}{7} - 3\left(\dfrac{3}{7}n - \dfrac{2}{7}\right)\), follow these steps:
1. Distribute the 3 to the terms inside the parentheses:
\[\dfrac{1}{7} - 3 \times \dfrac{3}{7}n + 3 \times \dfrac{2}{7}\]
2. Simplify the expression inside the parentheses:
\[\dfrac{1}{7} - \dfrac{9}{7}n + \dfrac{6}{7}\]
3. Combine like terms:
\[\left(\dfrac{1}{7} + \dfrac{6}{7}\right) - \dfrac{9}{7}n\]
\[\dfrac{7}{7} - \dfrac{9}{7}n\]
\[1 - \dfrac{9}{7}n\]
\[\boxed{1 - \dfrac{9}{7}n}\]
Therefore, the simplified expression is \(1 - \dfrac{9}{7}n\) = 9/7.
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