Answer
m=-$\frac{4}{3}$
m=0
Work Step by Step
Original Equation
|2+3m|-9=-7
Add 9 to both sides
|2+3m|=2
Take 2+3m and solve
2+3m=2
Subtract 2 from both sides
3m=0
Divide both sides by 3
m=0
Make 2+3m negative and solve
-2-3m=2
Add 2 to both sdies
-3m=4
Divide both sides by -3
m=-$\frac{4}{3}$