–13p–20≤20–8p+20

Sure, let's solve the inequality step by step:

–13p – 20 ≤ 20 – 8p + 20

First, simplify the right side of the inequality:

20 + 20 = 40

So, the inequality becomes:

–13p – 20 ≤ 40 – 8p

Next, let's get all the terms with 'p' on one side and the constants on the other side. Add 13p to both sides:

–13p + 13p – 20 ≤ 40 – 8p + 13p

This simplifies to:

–20 ≤ 40 + 5p

Then, subtract 40 from both sides:

–20 - 40 ≤ 5p

Which simplifies to:

–60 ≤ 5p

Finally, divide both sides by 5 to solve for 'p':

–60 / 5 ≤ p

So, the solution to the inequality is:

p ≥ -12