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4z=10z-16
We move all terms to the left:
4z-(10z-16)=0
We get rid of parentheses
4z-10z+16=0
We add all the numbers together, and all the variables
-6z+16=0
We move all terms containing z to the left, all other terms to the right
-6z=-16
z=-16/-6
z=2+2/3
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