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0.7z+1.5=0.2z+5
We move all terms to the left:
0.7z+1.5-(0.2z+5)=0
We get rid of parentheses
0.7z-0.2z-5+1.5=0
We add all the numbers together, and all the variables
0.5z-3.5=0
We move all terms containing z to the left, all other terms to the right
0.5z=3.5
z=3.5/0.5
z=7
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