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3z-1=1-3z
We move all terms to the left:
3z-1-(1-3z)=0
We add all the numbers together, and all the variables
3z-(-3z+1)-1=0
We get rid of parentheses
3z+3z-1-1=0
We add all the numbers together, and all the variables
6z-2=0
We move all terms containing z to the left, all other terms to the right
6z=2
z=2/6
z=1/3
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