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5z+9=8z-4z
We move all terms to the left:
5z+9-(8z-4z)=0
We add all the numbers together, and all the variables
5z-(+4z)+9=0
We get rid of parentheses
5z-4z+9=0
We add all the numbers together, and all the variables
z+9=0
We move all terms containing z to the left, all other terms to the right
z=-9
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