Question

which expression is equivalent to 2(3/4n + 8 + 1/4n - 12)?

a. 2n + 8

b. 2n - 8

c. n - 4

d. 2n + 10

Answer 1

To simplify the expression \( 2(3/4n + 8 + 1/4n - 12) \), follow these steps:

1. Combine like terms inside the parentheses:
\[
3/4n + 1/4n = 4/4n = n
\]
\[
8 - 12 = -4
\]
So, the expression inside the parentheses simplifies to:
\[
n - 4
\]

2. Now multiply the entire expression by 2:
\[
2(n - 4) = 2n - 8
\]

Now, we can match this with the provided options. The equivalent expression is:

**b. \( 2n - 8 \)**