Answer:
m = 5
Explanation:
The given expression is
[tex]-9m+10(m+3)=-7(m-10)[/tex]First, we need to apply the distributive property, so
[tex]\begin{gathered} -9m+10(m)+10(3)=-7(m)-7(-10) \\ -9m+10m+30=-7m+70 \\ 1m+30=-7m+70 \end{gathered}[/tex]Then, subtract 30 from both sides
[tex]\begin{gathered} m+30-30=-7m+70-30 \\ m=-7m+40 \end{gathered}[/tex]Add 7m to both sides
[tex]\begin{gathered} m+7m=-7m+40+7m \\ 8m=40 \end{gathered}[/tex]Finally, divide both sides by 8
[tex]\begin{gathered} \frac{8m}{8}=\frac{40}{8} \\ \\ m=5 \end{gathered}[/tex]Therefore, the answer is m = 5
