Answer:
[tex]\boxed{\boxed{\tt m=-13}}[/tex]
Step-by-step explanation:
[tex]\tt 9m-\left(6m-7\right)=2\left(m-3\right)[/tex]
Expand, Apply the Distributive property:
[tex]\tt 9m-\left(6m-7\right)\leadsto \underline{3m+7}[/tex]
[tex]\tt 2\left(m-3\right)\leadsto \underline{2m-6}[/tex]
[tex]\star \:\:\tt 3m+7=2m-6[/tex]
Subtract 7 from both sides:
[tex]\star \:\:\tt 3m+7-7=2m-6-7[/tex]
[tex]\star \:\: \tt 3m=2m-13[/tex]
Subtract 2m from both sides:
[tex]\star \:\: \tt 3m-2m=2m-13-2m[/tex]
[tex]\star \:\: \tt m=-13[/tex]
