Final answer:
To simplify the expression -(4x-7y+7), we use the distributive property, resulting in -4x + 7y - 7. Each term inside the parentheses is multiplied by -1, changing their signs.
Step-by-step explanation:
To simplify the expression -(4x-7y+7), we will apply the distributive property by multiplying each term inside the parentheses by -1. This changes the sign of each term.
Here's the step-by-step process:
- Multiply -1 by 4x to get -4x.
- Multiply -1 by -7y to get +7y.
- Multiply -1 by +7 to get -7.
So, the simplified expression becomes -4x + 7y - 7.
After simplifying the expression, we should always check the answer to ensure it is reasonable. In this case, since we've properly applied the distributive property, our answer is indeed reasonable.