## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$m=-2$
Using the properties of equality, the value of the variable that satisfies the given expression, $8(3-m)+7=47 ,$ is \begin{array}{l}\require{cancel} 24-8m+7=47 \\\\ -8m=47-24-7 \\\\ -8m=16 \\\\ m=\dfrac{16}{-8} \\\\ m=-2 .\end{array}