The equation shown in the image is:

$3(2p - 1) = 5(p - 2)$

Let's solve for $p$.

Step 1: Expand both sides of the equation.

Distribute the constants on both sides:

$3(2p - 1) = 6p - 3$ $5(p - 2) = 5p - 10$

Now the equation looks like:

$6p - 3 = 5p - 10$

Step 2: Move all terms involving $p$ to one side and constants to the other side.

Subtract $5p$ from both sides:

$6p - 5p - 3 = -10$ $p - 3 = -10$

Step 3: Isolate $p$.

Add 3 to both sides:

$p = -10 + 3$ $p = -7$

So, the solution is $p = -7$.

Would you like more details or further explanation? Here are some related questions to expand on this topic:

1. How can we verify the solution $p = -7$ by substituting it back into the original equation?
2. What are the properties of linear equations like the one we solved here?
3. Can this equation have more than one solution?
4. How would the process change if the equation was nonlinear?
5. How can we graphically represent this linear equation?

Tip: Always check your solution by substituting it back into the original equation to ensure it's correct!