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8(5z+1)=
We move all terms to the left:
8(5z+1)-()=0
We add all the numbers together, and all the variables
8(5z+1)=0
We multiply parentheses
40z+8=0
We move all terms containing z to the left, all other terms to the right
40z=-8
z=-8/40
z=-1/5
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