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2(5z+1)-9=83
We move all terms to the left:
2(5z+1)-9-(83)=0
We add all the numbers together, and all the variables
2(5z+1)-92=0
We multiply parentheses
10z+2-92=0
We add all the numbers together, and all the variables
10z-90=0
We move all terms containing z to the left, all other terms to the right
10z=90
z=90/10
z=9
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