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3.4z+6.3=-1.7z+47.1z=
We move all terms to the left:
3.4z+6.3-(-1.7z+47.1z)=0
We add all the numbers together, and all the variables
3.4z-(+45.4z)+6.3=0
We get rid of parentheses
3.4z-45.4z+6.3=0
We add all the numbers together, and all the variables
-42z+6.3=0
We move all terms containing z to the left, all other terms to the right
-42z=-6.3
z=-6.3/-42
z=1/6.6666666666667
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