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  • https://ukrayinska.libretexts.org/%D0%9C%D0%B0%D1%82%D0%B5%D0%BC%D0%B0%D1%82%D0%B8%D0%BA%D0%B0/%D0%90%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0/%D0%9F%D0%BE%D1%87%D0%B0%D1%82%D0%BA%D0%BE%D0%B2%D0%B0_%D0%B0%D0%BB%D0%B3%D0%B5%D0%B1%D1%80%D0%B0/07%3A_%D0%A0%D0%B0%D1%86%D1%96%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D1%96_%D0%B2%D0%B8%D1%80%D0%B0%D0%B7%D0%B8_%D1%82%D0%B0_%D1%80%D1%96%D0%B2%D0%BD%D1%8F%D0%BD%D0%BD%D1%8F/7.06%3A_%D0%97%D0%B0%D1%81%D1%82%D0%BE%D1%81%D1%83%D0%B2%D0%B0%D0%BD%D0%BD%D1%8F_%D1%80%D0%B0%D1%86%D1%96%D0%BE%D0%BD%D0%B0%D0%BB%D1%8C%D0%BD%D0%B8%D1%85_%D1%80%D1%96%D0%B2%D0%BD%D1%8F%D0%BD%D1%8C
    \(\begin{array}{cl}{\frac{1}{n}+\frac{1}{n-4}=\frac{10}{21}}&{} \\ {\color{Cerulean}{21n(n-4)} \color{black}{\cdot \left(\frac{1}{n}+\frac{1}{n-4} \right)}=\color{Cerulean}{21n(n-4)}\color{black}{ \cd...\(\begin{array}{cl}{\frac{1}{n}+\frac{1}{n-4}=\frac{10}{21}}&{} \\ {\color{Cerulean}{21n(n-4)} \color{black}{\cdot \left(\frac{1}{n}+\frac{1}{n-4} \right)}=\color{Cerulean}{21n(n-4)}\color{black}{ \cdot\left(\frac{10}{21}\right)}}&{\color{Cerulean}{Multiply\:both\:sides}}\\{}&{\color{Cerulean}{by\:the\:LCD.}} \\ {\color{Cerulean}{21n (n-4)}\color{black}{ \cdot \frac{1}{n}+}\color{Cerulean}{21n (n-4)}\color{black}{ \cdot \frac{1}{n-4}}=\color{Cerulean}{21n (n-4)}\color{black}{ \cdot\left(\frac{1…