How do you find the value of p in the linear equation 24p + 12 = 18p + 10 + 2p + 6?

To find the value of p in the linear equation 24p + 12 = 18p + 10 + 2p + 6, we first need to simplify the equation.

Step 1: Combine like terms on the right side of the equation.

18p + 2p + 10 + 6 = 20p + 16

Now we can rewrite the equation as:

24p + 12 = 20p + 16

Step 2: Next, we need to isolate p. Start by moving all the p terms to one side of the equation. Subtract 20p from both sides:

24p - 20p + 12 = 16

This simplifies to:

4p + 12 = 16

Step 3: Now, subtract 12 from both sides:

4p = 16 - 12

So, we have:

4p = 4

Step 4: Finally, divide both sides by 4:

p = 1

In conclusion, the value of p in the linear equation is 1.