Simplify the expression 4(2n – m) + 5m.

To simplify the expression (4(2n – m) + 5m), follow these steps:

1. Distribute the 4 across the terms inside the parentheses:

[

4(2n) – 4(m) = 8n – 4m

]

2. Now, add the (5m) from the original expression:

[

8n – 4m + 5m

]

3. Combine the like terms (-4m + 5m):

[

8n + 1m = 8n + m

]

So the simplified expression is (8n + m).

The correct answer is 8n + m.