Question

Select the expression that is equal to (9r + 3) - (5r - 7)
.

A. 14r - 4

B. 14r + 10

C. 4r - 4

D. 4r + 10

Answer 1

To simplify the expression \((9r + 3) - (5r - 7)\), we can follow these steps:

1. Distribute the negative sign across the second parenthesis:
\[
(9r + 3) - (5r - 7) = 9r + 3 - 5r + 7
\]

2. Combine like terms:
- For the \(r\) terms: \(9r - 5r = 4r\)
- For the constant terms: \(3 + 7 = 10\)

So, the expression simplifies to:
\[
4r + 10
\]

Thus, the correct answer is:
**D. 4r + 10**