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Answer:
[tex]\dfrac{5}{2}\left(k-\dfrac{4}{5}\right)[/tex]
Step-by-step explanation:
When you factor out 5/2, each term gets divided by 5/2. Equivalently, each term is multiplied by 2/5.
[tex]\dfrac{5}{2}k-2=\dfrac{5}{2}\cdot\dfrac{2}{5}\left(\dfrac{5}{2}k-2\right)=\dfrac{5}{2}\left(\dfrac{2}{5}\cdot\dfrac{5}{2}k-\dfrac{2}{5}\cdot2\right)\\\\ =\boxed{\dfrac{5}{2}\left(k-\dfrac{4}{5}\right)}[/tex]
