Let's simplify the expression $5p + 3p + (-9)$.

1. Combine like terms: $5p + 3p = 8p$ So the expression becomes: $8p + (-9), \text{ which is } 8p - 9.$

Now let's check the choices:

• Choice A: $8p + 9$
  This is not equivalent, as the constant term here is $+9$, while in the original expression, it is $-9$.
  Choice A is incorrect.

• Choice B: $3(p + (-3)) + 5p$
  First, simplify this: $3(p + (-3)) = 3p + (-9) = 3p - 9$ Adding $5p$ to this: $3p - 9 + 5p = 8p - 9$ This matches the simplified form of the original expression.
  Choice B is correct.

• Choice C: None of the above
  Since we found that Choice B is correct, Choice C is incorrect.

Thus, the correct answer is Choice B.

Would you like more details, or do you have any questions?

Here are five related questions to practice:

1. Simplify $4x + 2x + (-5)$.
2. Which expression is equivalent to $7y + 3y - 4$?
3. Combine like terms: $6a + 9 + (-4a)$.
4. Simplify $2b + (-3b) + 5$.
5. Which of the following is equivalent to $9p + (-3p) + 6$?

Tip: Always group and simplify like terms first when working with algebraic expressions.