## Elementary Algebra

$n=-\dfrac{19}{10}$
Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $-7-2n-6n=7n-5n+12 ,$ is \begin{array}{l}\require{cancel} -2n-6n-7n+5n=12+7 \\\\ -10n=19 \\\\ n=\dfrac{19}{-10} \\\\ n=-\dfrac{19}{10} .\end{array}