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10z+1=8z+7
We move all terms to the left:
10z+1-(8z+7)=0
We get rid of parentheses
10z-8z-7+1=0
We add all the numbers together, and all the variables
2z-6=0
We move all terms containing z to the left, all other terms to the right
2z=6
z=6/2
z=3
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