To find the value of p in the equation 24p + 12 = 18p + 10 + 2p + 6, we first need to simplify the equation.
Let’s combine like terms on the right side:
- Combine 18p and 2p, which gives us 20p.
- Combine the constants 10 and 6, which gives us 16.
This simplifies our equation to:
24p + 12 = 20p + 16
Next, we will get all the p terms on one side and the constant terms on the other side. We can do this by subtracting 20p from both sides:
24p – 20p + 12 = 16
This simplifies to:
4p + 12 = 16
Now, subtract 12 from both sides:
4p = 16 – 12
This results in:
4p = 4
Finally, divide both sides by 4 to solve for p:
p = 1
So, the value of p in the given linear equation is 1.