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3z+9+13z=4z+5
We move all terms to the left:
3z+9+13z-(4z+5)=0
We add all the numbers together, and all the variables
16z-(4z+5)+9=0
We get rid of parentheses
16z-4z-5+9=0
We add all the numbers together, and all the variables
12z+4=0
We move all terms containing z to the left, all other terms to the right
12z=-4
z=-4/12
z=-1/3
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