1. The problem asks us to find an expression equivalent to $-5(6a - b)$. 2. We use the distributive property: $a(b + c) = ab + ac$. Here, $a = -5$, $b = 6a$, and $c = -b$. 3. Apply the distributive property: $$-5(6a - b) = -5 \times 6a + (-5) \times (-b)$$ 4. Multiply each term: $$-5 \times 6a = -30a$$ $$-5 \times (-b) = +5b$$ 5. Combine the results: $$-30a + 5b$$ 6. Rearrange terms to match the options: $$5b - 30a$$ 7. Therefore, the expression equivalent to $-5(6a - b)$ is $5b - 30a$.