What is the simplified form of 8n + 6 - 4n?

• A. 4n + 6
• B. 5n + 6
• C. 8n - 6
• D. 6n + 2

Answer: (B)

To simplify the expression 8n + 6 - 4n, start by identifying and combining the like terms. Here, the terms involving the variable n are 8n and -4n.

When you combine these, you should subtract the coefficient of -4n from the coefficient of 8n:

8n - 4n = (8 - 4)n = 4n.

Next, bring down the constant term, which is +6. So, we add this to our result from combining the like terms:

4n + 6.

Therefore, the simplified form of the expression is 4n + 6.

This matches with one of the choices provided, reinforcing the understanding of how to combine like terms properly. The other choices do not reflect the accurate combination of terms in the original expression, making them incorrect.