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2+4z=5z-7
We move all terms to the left:
2+4z-(5z-7)=0
We get rid of parentheses
4z-5z+7+2=0
We add all the numbers together, and all the variables
-1z+9=0
We move all terms containing z to the left, all other terms to the right
-z=-9
z=-9/-1
z=+9
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