1. Stating the problem: We need to find the value of the function $ (n - m)(-6) $ where $ n(x) = |x-3| $ and $ m(x) = 4x $. 2. Recall that $ (n - m)(x) = n(x) - m(x) $. So, $ (n - m)(-6) = n(-6) - m(-6) $. 3. Evaluate $ n(-6) $: $ n(-6) = |-6-3| = |-9| = 9 $. 4. Evaluate $ m(-6) $: $ m(-6) = 4 imes (-6) = -24 $. 5. Substitute these values back into the expression: $ (n - m)(-6) = 9 - (-24) = 9 + 24 = 33 $. 6. Final answer: $$ (n - m)(-6) = 33 $$