Question

Which expression is equivalent to 8p−5+2(5p+3)−4p
?(1 point)
Responses

22p+1
22 p plus 1

14p+11
14 p plus 11

14p−2
14 p minus 2

14p+1

Answer 1

To simplify the expression \( 8p - 5 + 2(5p + 3) - 4p \), we can follow these steps:

1. Distribute \( 2 \) into \( (5p + 3) \):
\[
2(5p + 3) = 10p + 6
\]

2. Now substitute this back into the original expression:
\[
8p - 5 + 10p + 6 - 4p
\]

3. Combine like terms:
- Combine the \( p \) terms: \( 8p + 10p - 4p = 14p \)
- Combine the constant terms: \( -5 + 6 = 1 \)

4. So we have:
\[
14p + 1
\]

Therefore, the equivalent expression is \( 14p + 1 \).

The correct response is:
**14p + 1**