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[tex]\sqrt{2n+28}-4\sqrt{n}=0\\\\\sqrt{2n+28}=4\sqrt{n}\\\\\sqrt{2n+28}^2=\left(4\sqrt{n}\right)^2\\\\2n+28=16n\\\\2n-16n=-28\\\\14n=28\\\\\boxed{\boxed{n=2}}[/tex]
[tex]\sqrt{2n+28}-4\sqrt{n}=0\\\\\sqrt{2n+28}=4\sqrt{n}\\\\\sqrt{2n+28}^2=\left(4\sqrt{n}\right)^2\\\\2n+28=16n\\\\2n-16n=-28\\\\14n=28\\\\\boxed{\boxed{n=2}}[/tex]