To solve this equation, first find a common denominator for all the fractions on the left side of the equation.

Common denominator for 5, 10, and 15 is 30.

Rewrite the equation with the common denominator:
6/30m + 9/30m - 4/30m = 1/10

Combine the fractions:
(6+9-4)/30m = 1/10
11/30m = 1/10

Now, cross multiply to solve for m:
10 * 11 = 30m
110 = 30m
m = 110/30
m = 11/3

Therefore, the solution to the equation is m = 11/3.