Step 1 :Given the expression \(7m + mn + 14 + 2n\).
Step 2 :Rearrange the terms to get \(7m + 14 + mn + 2n\).
Step 3 :Group the terms to get \((7m + 14) + (mn + 2n)\).
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 \(\boxed{(m + 2)(n + 7)}\).