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3-9z=-8z-6
We move all terms to the left:
3-9z-(-8z-6)=0
We get rid of parentheses
-9z+8z+6+3=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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