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1-z=-8-z
We simplify the equation to the form, which is simple to understand
1-z=-8-z
We move all terms containing z to the left and all other terms to the right.
-1z+1z=-8-1
We simplify left and right side of the equation.
z=-9
0=-9
The left and right sides are not equal, therefore there is no solution. This equation is invalid.
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