Simplify the following without a calculator: $$ \left(\sqrt{7}+\frac{1}{\sqrt{7}}\right)\left(2 \sqrt{7}-\frac{1}{\sqrt{7}}\right)\left(\frac{1}{\sqrt{7}}\right) $$

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Calculate or simplify the expression $$ (\sqrt{7}+\frac{1}{\sqrt{7}})(2\sqrt{7}-\frac{1}{\sqrt{7}})\frac{1}{\sqrt{7}} $$.
Calculate the value by following steps:
- step0: Calculate:
  $$\left(\sqrt{7}+\frac{1}{\sqrt{7}}ight)\left(2\sqrt{7}-\frac{1}{\sqrt{7}}ight)	imes \frac{1}{\sqrt{7}}$$
- step1: Add the numbers:
  $$\frac{8\sqrt{7}}{7}\left(2\sqrt{7}-\frac{1}{\sqrt{7}}ight)	imes \frac{1}{\sqrt{7}}$$
- step2: Subtract the numbers:
  $$\frac{8\sqrt{7}}{7}	imes \frac{13\sqrt{7}}{7}	imes \frac{1}{\sqrt{7}}$$
- step3: Multiply the terms:
  $$\frac{104}{7}	imes \frac{1}{\sqrt{7}}$$
- step4: Multiply the fractions:
  $$\frac{104}{7\sqrt{7}}$$
- step5: Multiply by the Conjugate:
  $$\frac{104\sqrt{7}}{7\sqrt{7}	imes \sqrt{7}}$$
- step6: Multiply the numbers:
  $$\frac{104\sqrt{7}}{49}$$
The simplified expression is $$ \frac{104\sqrt{7}}{49} $$.
The simplified expression is $$ \frac{104\sqrt{7}}{49} $$.

Simplify the following without a calculator:

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