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-1.14+7.7z=6.2z-5.79
We move all terms to the left:
-1.14+7.7z-(6.2z-5.79)=0
We get rid of parentheses
7.7z-6.2z+5.79-1.14=0
We add all the numbers together, and all the variables
1.5z+4.65=0
We move all terms containing z to the left, all other terms to the right
1.5z=-4.65
z=-4.65/1.5
z=-3+0.15/1.5
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