\(\dfrac{12}{7}\times\dfrac{4}{13}+\dfrac{12}{14}\times\dfrac{14}{26}-\dfrac{6}{7}\times\dfrac{2}{13}\)
= \(\dfrac{6}{7}\times\dfrac{4\times2}{13}+\dfrac{6}{7}\times\dfrac{7}{13}-\dfrac{6}{7}\times\dfrac{2}{13}\)
= \(\dfrac{6}{7}\times\left(\dfrac{8}{13}+\dfrac{7}{13}-\dfrac{2}{13}\right)\)
= \(\dfrac{6}{7}\times1\) = \(\dfrac{6}{7}\)
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