[tex] \frac{15}{8m - 11} = \frac{7}{4m + 1} [/tex]
I would begin by crossmultiply to get rid of the denominators.
[tex]15(4m + 1) = 7(8m - 11)[/tex]
Then expand.
[tex]20m + 15 = 56m - 77[/tex]
Then isolate the variable and simplify.
[tex]92 = 36m[/tex]
Therefore m equals,
[tex]m = 2.55555...[/tex]
