Question

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Answer 1

2/5m - 1/5

Explanation:

2(1/5m - 2/5) + 3/5

= 2/5m - 4/5 + 3/5

= 2/5m - 1/5

Answer 2

`(2m-1)/(5)`

Explanation:

`2\left((1)/(5)m-(2)/(5)\right)+(3)/(5)\\\\2\left((1)/(5)m-(2)/(5)\right)=2\left((m)/(5)-(2)/(5)\right)\\\\(m)/(5)-(2)/(5)=(m-2)/(5)\\\\=(2\left(m-2\right))/(5)+(3)/(5)\\\\\mathrm{Apply\:rule}\:(a)/(c)\pm (b)/(c)=(a\pm \:b)/(c)\\\\=(2\left(m-2\right)+3)/(5)\\\\\mathrm{Expand}\:\left(m-2\right)\cdot \:2+3:\quad 2m-1\\\\=(2m-1)/(5)`