Answer:
[tex]m=2[/tex]
Step-by-step explanation:
[tex]-7+4m+10=15-2m[/tex]
Isolate the variable m. Combine like terms (-7+10):
[tex]3+4m=15-2m[/tex]
Subtract 3 from both sides (inverse operations):
[tex]3-3+4m=15-3-2m\\\\4m=12-2m[/tex]
Add 2m to both sides (inverse operations):
[tex]4m+2m=12-2m+2m\\\\6m=12[/tex]
Divide both sides by 6 to isolate m (inverse operations):
[tex]\frac{6m}{6} =\frac{12}{6} \\\\m=2[/tex]
Since this cannot be further simplified, m is equal to 2.
:Done
