To simplify the expression 2n - 8n^2/4n, we can follow these steps: 1. First, let's simplify the fraction 8n^2/4n. We can divide the numerator and denominator by 4 to simplify it further. This gives us (8n^2)/4n = 2n. 2. Now, we can substitute this simplified fraction back into the original expression. So, 2n - 2n = 0. Therefore, the simplified expression for 2n - 8n^2/4n is 0. To understand this better, let's consider an example. Let's say we have n = 3. Using the original expression, 2(3) - 8(3^2)/(4(3)), we can simplify it step by step: 1. Simplify the numerator: 2(3) - 8(9) = 6 - 72 = -66. 2. Simplify the denominator: 4(3) = 12. 3. Simplify the fraction: -66/12 = -11/2. So, when n = 3, the expression 2n - 8n^2/4n equals -11/2. In general, no matter what value we substitute for n, the expression 2n - 8n^2/4n will always simplify to 0.