When m is an integer, the value of fraction 6m + 3 / 2m-1 is also an integer

When m is an integer, the value of fraction 6m + 3 / 2m-1 is also an integer

Analysis,
Let t = (6m + 3) / (2m-1)
=[3(2m-)+6]/(2m-1)
=3+6/(2m-1)
T is an integer, that is, 6 / (2m-1) is an integer,
Therefore, M = - 1,0,1, or 2