Question

8p - 7 = 2p + 4p + 9 and show your work.
A. p = 3
B. p = 2
C. p = 5
D. p = 1

Answer 1

To solve the equation 8p - 7 = 6p + 9 and find the value of p, we combine like terms, isolate the p term, and solve for p.

Step-by-step explanation:

To solve the equation, we can combine like terms on both sides of the equation:

8p - 7 = 6p + 9

Next, we can subtract 6p from both sides to isolate the p term:

8p - 6p - 7 = 6p - 6p + 9

This simplifies to:

2p - 7 = 9

To solve for p, we can add 7 to both sides:

2p - 7 + 7 = 9 + 7

Resulting in:

2p = 16

Finally, we can divide both sides by 2 to solve for p:

p = 8