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6=4z-10
We move all terms to the left:
6-(4z-10)=0
We get rid of parentheses
-4z+10+6=0
We add all the numbers together, and all the variables
-4z+16=0
We move all terms containing z to the left, all other terms to the right
-4z=-16
z=-16/-4
z=+4
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