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10z+61=5z+71
We move all terms to the left:
10z+61-(5z+71)=0
We get rid of parentheses
10z-5z-71+61=0
We add all the numbers together, and all the variables
5z-10=0
We move all terms containing z to the left, all other terms to the right
5z=10
z=10/5
z=2
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