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3z+7-z=10+z+9
We move all terms to the left:
3z+7-z-(10+z+9)=0
We add all the numbers together, and all the variables
3z-z-(z+19)+7=0
We add all the numbers together, and all the variables
2z-(z+19)+7=0
We get rid of parentheses
2z-z-19+7=0
We add all the numbers together, and all the variables
z-12=0
We move all terms containing z to the left, all other terms to the right
z=12
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