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1+z/2=-7
We move all terms to the left:
1+z/2-(-7)=0
We add all the numbers together, and all the variables
z/2+8=0
We multiply all the terms by the denominator
z+8*2=0
We add all the numbers together, and all the variables
z+16=0
We move all terms containing z to the left, all other terms to the right
z=-16
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