To solve this equation, we need to first distribute and simplify on both sides of the equation

4(2-3m) - (6-m) - 2(3m+4) = -17m - 6
8 - 12m - 6 + m - 6m - 8 = -17m - 6
8 - 6 - 12m + m - 6m - 8 - 6m - 8 = -17m - 6
-12m - 12m - 6m - 6 = -17m - 6

Now, combine like terms:

-30m - 6 = -17m - 6

To solve for m, let's isolate the variable on one side:

-30m + 17m = -6 - 6
-13m = -12
m = (-12)/(-13)
m = 12/13

So, the solution to the equation is m = 12/13.