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5z=6z-13
We move all terms to the left:
5z-(6z-13)=0
We get rid of parentheses
5z-6z+13=0
We add all the numbers together, and all the variables
-1z+13=0
We move all terms containing z to the left, all other terms to the right
-z=-13
z=-13/-1
z=+13
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