We are given
[tex]\frac{1}{2} (10m-14)+9=12[/tex]
step-1:
we can distribute 1/2
[tex]\frac{1}{2}\times 10m-\frac{1}{2}\times 14+9=12[/tex]
[tex]5m-7+9=12[/tex]
so, we use "Distributive property"
step-2:
We can simplify it
[tex]5m+2=12[/tex]
so, we use "Simplification"
step-3:
we can subtract both sides by 2
[tex]5m+2-2=12-2[/tex]
[tex]5m=10[/tex]
so, we use "Subtraction property of equality"
step-4:
Divide both sides by 5
[tex]\frac{5m}{5} =\frac{10}{5}[/tex]
[tex]m =2[/tex]
so, we use "Division property of equality"