What is the solution set of the expression 18 + 3n – 2n + 20 – 4n?

The solution set for the expression 18 + 3n – 2n + 20 – 4n can be derived by simplifying the expression step-by-step.

Let’s break it down:

1. First, combine like terms. We will combine the constant terms and the terms with n:
   – The constant terms are 18 and 20. Adding them gives us 38.
2. Next, look at the terms with n: 3n, -2n, and -4n.
• Combining these gives:
  3n – 2n – 4n = -3n

Now, putting it all together, we have:

38 – 3n = 0

To solve for n, we need to isolate n. This can be accomplished by moving 38 to the other side:

-3n = -38

Next, divide both sides by -3 to solve for n:

n = 38 / 3

Thus, the solution to our expression is:

n = 12.67 (to two decimal places)

In conclusion, the solution set of the expression 18 + 3n – 2n + 20 – 4n is:

{n = 12.67}