## Elementary Algebra

$n=-88$
Multiplying both sides of the equation by $-\dfrac{8}{3}$ (which is the reciprocal of -3/8) and using the properties of equality, the value of the variable that satisfies the given equation, $-\dfrac{3}{8}n=33 ,$ is \begin{array}{l}\require{cancel} n=33\cdot\left(-\dfrac{8}{3}\right) \\\\ n=\cancel{3}\cdot11\cdot\left(-\dfrac{8}{\cancel{3}}\right) \\\\ n=-88 .\end{array}