Question

Which of these is a simplified form of the equation 7p + 4 = − p + 9 + 2p + 3p?

Group of answer choices

13p = 13

3p = 5

7 = 4

11 = 15

Answer 1

To simplify the equation \(7p + 4 = -p + 9 + 2p + 3p\), first combine the like terms on the right side of the equation.

Starting with the right side:
\[
-p + 2p + 3p + 9 = (2p - p + 3p) + 9 = 4p + 9
\]

Now, the equation looks like:
\[
7p + 4 = 4p + 9
\]

Next, subtract \(4p\) from both sides:
\[
7p - 4p + 4 = 9
\]
\[
3p + 4 = 9
\]

Now, subtract \(4\) from both sides:
\[
3p = 9 - 4
\]
\[
3p = 5
\]

So, the simplified form of the equation is:
\[
3p = 5
\]

From the answer choices provided, the correct answer is: **3p = 5**.