1. The problem asks to determine the product of the expression $(n - m)$ multiplied by $-6$. 2. To multiply $(n - m)$ by $-6$, apply the distributive property: $$ (n - m)(-6) = n \cdot (-6) - m \cdot (-6) $$ 3. Simplify each term: $$ = -6n + 6m $$ 4. Thus, the expression simplifies to: $$ 6m - 6n $$ This is the final answer.