Final answer:
To write the expression -(r-3-9p) without parentheses, apply the negative sign to each term, resulting in -r + 3 + 9p. Further simplification is not possible as the terms are not like terms.
Step-by-step explanation:
To use the distributive property to write the expression -(r-3-9p) without parentheses, we apply the negative sign to each term inside the parentheses.
The distributive property states that a(b + c) = ab + ac, and similarly with subtraction and negative signs, it applies to our expression as -(a - b - c) = -a + b + c. In this case, applying the negative sign to each term gives us -r + 3 + 9p. No further simplification can be done because the terms -r and 9p are not like terms and cannot be combined.