#### Answer

$m=-2$

#### Work Step by Step

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}