m=3
Explanation
Step 1
apply the distributive property to eliminate the parenthesis
[tex]\begin{gathered} 6m+6+7(1-3m)=-32 \\ 6m+6+7-21m=-32 \end{gathered}[/tex]Step 2
add similar terms
[tex]\begin{gathered} 6m+6+7-21m=-32 \\ -15m+13=-32 \end{gathered}[/tex]Step 3
subtract 13 in both sides
[tex]\begin{gathered} -15m+13=-32 \\ -15m+13-13=-32-13 \\ -15m=-45 \end{gathered}[/tex]Step 4
Finally, divide each side by -15
[tex]\begin{gathered} -15m=-45 \\ \frac{-15m}{-15}=\frac{-45}{-15} \\ m=3 \end{gathered}[/tex]I hope this helps you