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9z-22=4z+3
We move all terms to the left:
9z-22-(4z+3)=0
We get rid of parentheses
9z-4z-3-22=0
We add all the numbers together, and all the variables
5z-25=0
We move all terms containing z to the left, all other terms to the right
5z=25
z=25/5
z=5
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