Answer:
[tex]\dfrac{2}{5}m-\dfrac{1}{5}[/tex]
Step-by-step explanation:
First, use the distributive property [tex]a\cdot (b-c)=a\cdot b-a\cdot c.[/tex] Thus,
[tex]2\cdot \left(\dfrac{1}{5}m-\dfrac{2}{5}\right)=2\cdot \dfrac{1}{5}m-2\cdot \dfrac{2}{5}=\dfrac{2}{5}m-\dfrac{4}{5}.[/tex]
Then given expression will take look
[tex]\dfrac{2}{5}m-\dfrac{4}{5}+\dfrac{3}{5}.[/tex]
This expression consists of three terms, one term with m and two terms without m. Combine terms without m:
[tex]-\dfrac{4}{5}+\dfrac{3}{5}=-\dfrac{1}{5}.[/tex]
Therefore, an equivalent expression is
[tex]\dfrac{2}{5}m-\dfrac{1}{5}.[/tex]
