Question 370493
{{{5/(2m+6) - 1/(m+1) = 1/(m+3)}}}
{{{2.5/(m+3) - 1/(m+3) = 1/(m+1)}}}
{{{1.5/(m+3) = 1/(m+1)}}}
{{{1.5(m+1) = m + 3}}}
1.5m + 1.5 = m+3
0.5m = 1.5
m = 3.  since this will not make the denominator equal to zero, this is the solution.