-17 + n/5 = 33 First, we can start out by regrouping our terms. This will switch our fraction and number around and also make the original addition to subtraction. [latex] \frac{n}{5} - 17 = 33[/latex] Second, we can start out our goal by trying to get the variable (n) on one side by itself and to equal something. Let's begin by adding 17 to each side of the problem. [latex] \frac{n}{5} = 33 + 17[/latex] Third, we can now add the numbers on the right side of our problem. Simple. Add 33 + 17 to get 50. [latex] \frac{n}{5} = 50[/latex] Fourth, we now have to multiply both sides by 5. Why? We are getting rid of the fraction so that the variable can become by itself. [latex]n = 50 \times 5[/latex] Fifth, our last step is to multiply 50 × 5. Use a calculator, long multiplication, etc. 50 × 5 = 250. [latex]n = 250[/latex] Answer: [latex]\fbox {n = 250}[/latex]

-17 + n/5 = 33 +17 +17 n/5 = 50 5(n/5) = (50)5 n = 250 → n will equal 250 and to check your work look below. -17 + (250)/5 = 33 -17 + 50 = 33 33 = 33