Simplify the expression 4(2n – m) + 5m.
8nm + 5m
8n + 4m
8n + m
8n – 6m
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Simplify the expression 4(2n – m) + 5m.
8nm + 5m
8n + 4m
8n + m
8n – 6m
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.