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6(9-z)=-5z
We move all terms to the left:
6(9-z)-(-5z)=0
We add all the numbers together, and all the variables
6(-1z+9)-(-5z)=0
We multiply parentheses
-6z-(-5z)+54=0
We get rid of parentheses
-6z+5z+54=0
We add all the numbers together, and all the variables
-1z+54=0
We move all terms containing z to the left, all other terms to the right
-z=-54
z=-54/-1
z=+54
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