## Elementary Algebra

$n=-13$
Using the properties of equality and combining like terms, the value of the variable that satisfies the given equation, $6n-1-10n=51 ,$ is \begin{array}{l}\require{cancel} 6n-10n=51+1 \\\\ -4n=52 \\\\ n=\dfrac{52}{-4} \\\\ n=-13 .\end{array}