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6-4z=z-3
We move all terms to the left:
6-4z-(z-3)=0
We get rid of parentheses
-4z-z+3+6=0
We add all the numbers together, and all the variables
-5z+9=0
We move all terms containing z to the left, all other terms to the right
-5z=-9
z=-9/-5
z=1+4/5
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