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6(7-z)+z=46-z
We move all terms to the left:
6(7-z)+z-(46-z)=0
We add all the numbers together, and all the variables
6(-1z+7)+z-(-1z+46)=0
We add all the numbers together, and all the variables
z+6(-1z+7)-(-1z+46)=0
We multiply parentheses
z-6z-(-1z+46)+42=0
We get rid of parentheses
z-6z+1z-46+42=0
We add all the numbers together, and all the variables
-4z-4=0
We move all terms containing z to the left, all other terms to the right
-4z=4
z=4/-4
z=-1
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