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4z+6=5z-9
We move all terms to the left:
4z+6-(5z-9)=0
We get rid of parentheses
4z-5z+9+6=0
We add all the numbers together, and all the variables
-1z+15=0
We move all terms containing z to the left, all other terms to the right
-z=-15
z=-15/-1
z=+15
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