\dfrac{1}7-3\left(\dfrac{3}{7}n-\dfrac{2}{7}\right)

Question

Combine like terms to create an equivalent expression.
Enter any coefficients as simplified proper or improper fractions or integers.

Answer 1

\dfrac{1}{7} - 3\left(\dfrac{3n}{7} - \dfrac{2}{7}\right)\\
=\dfrac{1}{7} - 3\cdot\dfrac{3n}{7} + 3\cdot\dfrac{2}{7}\\
=\dfrac{1}{7} - \dfrac{9n}{7} + \dfrac{6}{7}\\
=\dfrac{1 - 9n + 6}{7}\\
=\dfrac{7 - 9n}{7}\\
=\dfrac{7}{7} - \dfrac{9n}{7}\\
=1 - \dfrac{9n}{7}