## Elementary Algebra

$n=-\dfrac{2}{9}$
Multiplying both sides by the $LCD= 3 ,$ and using the properties of equality, the value of the variable that satisfies the given equation, $-12n=\dfrac{8}{3} ,$ is \begin{array}{l}\require{cancel} 3(-12n)=1(8) \\\\ -36n=8 \\\\ n=\dfrac{8}{-36} \\\\ n=\dfrac{\cancel{4}\cdot2}{\cancel{4}\cdot(-9)} \\\\ n=\dfrac{2}{-9} \\\\ n=-\dfrac{2}{9} .\end{array}