Factor by grouping.
$7 m + m n + 14 + 2 n$
$7 m + m n + 14 + 2 n = ◻$

Answer

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Answer

Final Answer: The factored form of the given expression is $(m + 2) (n + 7)$ .

Steps

Step 1 ：Given the expression $7 m + m n + 14 + 2 n$ .

Step 2 ：Rearrange the terms to get $7 m + 14 + m n + 2 n$ .

Step 3 ：Group the terms to get $(7 m + 14) + (m n + 2 n)$ .

Step 4 ：Factor out a 7 from the first group and an n from the second group.

Step 5 ：Final Answer: The factored form of the given expression is $(m + 2) (n + 7)$ .