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1/2m-4=5

Add 4 on both sides. 

1/2m=9

Divide both sides by 1/2. 

m=18

I hope this helps!
~kaikers
so the given equation is [tex] \frac{1}{2} [/tex]m - 4 = 5

We should add 4 on either side as our first step, in order to find the value of the variable

[tex] \frac{1}{2} [/tex]m - 4 ( + 4 ) = 5 ( + 4 )
- 4 and + 4 cancels out in the left hand side

We are left with
[tex] \frac{1}{2} [/tex]m = 9

To find the value of m, we should divide each side by [tex] \frac{1}{2} [/tex]
(diving by a fraction can also be done by multiplying the reciprocal)
[tex] \frac{1}{2} [/tex]m = 9 ÷ [tex] \frac{1}{2} [/tex]
[tex] \frac{1}{2} and \frac{1}{2} [/tex]  cancels out

m = 18