Answer:
m= -29
Step-by-step explanation:
This is a bit of a complex equation, but let's work through it.
2/3 (m-1/2) +3= m/3-7
First, we need to distribute the 2/3.
(2/3)(m)+(2/3)(−1/2)+3=m/3+−7
Now we simplify that.
2/3m+−1/3+3=1/3m+−7
We can now combine like terms.
2/3m+8/3=1/3m+−7
The goal is to isolate the variable, so we should subtract 1/3m from both sides.
1/3m+8/3=−7
Lets keep going! We can subtract 8/3 from both sides.
1/3m=-29/3
Well now we know what 1/3 of m is, but we want to know what m is. So we can multiply both sides by three to finally find out what m is!
m=-29
We did it! m=-29