1. The problem is to write an expression equivalent to $-2(4 + 6m)$ using the distributive property. 2. The distributive property states that $a(b + c) = ab + ac$. This means we multiply $-2$ by each term inside the parentheses. 3. Applying the distributive property: $$-2(4 + 6m) = -2 \times 4 + (-2) \times 6m$$ 4. Multiply the numbers: $$-2 \times 4 = -8$$ $$-2 \times 6m = -12m$$ 5. Combine the results: $$-8 - 12m$$ 6. Therefore, the expression equivalent to $-2(4 + 6m)$ is: $$\boxed{-8 - 12m}$$