Step 1 :Given the expression $(4 u-3 v)(-2 w)$, we are asked to evaluate it for $u=6$, $v=8$, and $w=3$.
Step 2 :Substitute the given values into the expression: $(4*6 - 3*8)(-2*3)$
Step 3 :Simplify the expression: $(24 - 24)(-6)$
Step 4 :Further simplify the expression: $0*(-6)$
Step 5 :Finally, we find that the result is 0.
Step 6 :\(\boxed{0}\) is the final answer.