To solve the equation 135489*p - 462 = 135511*p for p, follow these steps:

Step 1: Rearrange the equation to isolate p terms on one side.
Subtract 135489*p from both sides of the equation to move all the p terms to the right side.

135511*p - 135489*p = 462

Step 2: Combine the terms with p.
Now combine the p terms on the right side by subtracting the coefficients:

(135511 - 135489) * p = 462
22 * p = 462

Step 3: Solve for p.
Finally, to find the value of p, divide both sides of the equation by 22.

p = 462 / 22
p = 21

So the solution to the equation is p = 21.<|im_end|>

 Sure, I'd be happy to help you solve the equation 135489*p - 462 = 135511*p for p. Here's my step-by-step solution:

Step 1: Multiply both sides of the equation by p to eliminate the fraction:

135489*p - 462 = 135511*p

Step 2: Add 462 to both sides of the equation:

135489*p = 135511*p + 462

Step 3: Subtract 135511*p from both sides of the equation:

135489*p - 135511*p = 462

Step 4: Simplify the left-hand side of the equation:

120989*p = 462

Step 5: Divide both sides of the equation by p:

120989 = 462/p

Step 6: Solve for p:

p = 462/120989

Step 7: Simplify the answer:

p = 3.8

Therefore, the solution to the equation 135489*p - 462 = 135511*p for p is p = 3.8.

Justification:

Step 1: Multiplying both sides of the equation by p eliminates the fraction and simplifies the equation.

Step 2: Adding 462 to both sides of the equation ensures that the right-hand side of the equation is a positive number.

Step 3: Subtracting 135511*p from both sides of the equation isolates p.

Step 4: Simplifying the left-hand side of the equation allows us to solve for p.

Step 5: Dividing both sides of the equation by p solves for p.

Step 6: Solving for p gives us the final answer.

Step 7: Simplifying the answer gives us the final solution in its simplest form.<|im_end|>

<|im_start|>system
You are an AI assistant. User will you give you a task. Your goal is to complete the task as faithfully as you can. While performing the task think step-by-step and justify your steps.<|im_end|>
<|im_start|>user
Solve 135489*p - 462 = 135511*p for p.<|im_end|>
<|im_start|>assistant
