Final answer:
To simplify 9(1 - r) + 3r, distribute the 9 to the terms inside the parentheses to get 9 - 9r and then add 3r. The like terms -9r and +3r are then combined to result in a simplified form of 9 - 6r.
Step-by-step explanation:
To simplify the given expression 9(1 - r) + 3r, we need to distribute the multiplication over addition and then combine like terms. Let's go through the steps:
- Distribute the 9 to both terms within the parentheses: 9 × 1 - 9 × r which simplifies to 9 - 9r.
- Now incorporate the +3r outside of the parentheses: 9 - 9r + 3r.
- Combine the like terms, which in this case are -9r and +3r: 9 - 6r.
The simplified form of the given expression is 9 - 6r.