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5z+3(6-z)=0=
We add all the numbers together, and all the variables
5z+3(-1z+6)=0
We multiply parentheses
5z-3z+18=0
We add all the numbers together, and all the variables
2z+18=0
We move all terms containing z to the left, all other terms to the right
2z=-18
z=-18/2
z=-9
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