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3+5z=10+6z
We move all terms to the left:
3+5z-(10+6z)=0
We add all the numbers together, and all the variables
5z-(6z+10)+3=0
We get rid of parentheses
5z-6z-10+3=0
We add all the numbers together, and all the variables
-1z-7=0
We move all terms containing z to the left, all other terms to the right
-z=7
z=7/-1
z=-7
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