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10.42=-2.6z+0.8
We move all terms to the left:
10.42-(-2.6z+0.8)=0
We get rid of parentheses
2.6z-0.8+10.42=0
We add all the numbers together, and all the variables
2.6z+9.62=0
We move all terms containing z to the left, all other terms to the right
2.6z=-9.62
z=-9.62/2.6
z=-3+1/1.4285714285714
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