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4z/7-5=5

We move all terms to the left:

4z/7-5-(5)=0

We add all the numbers together, and all the variables

4z/7-10=0

We multiply all the terms by the denominator

4z-10*7=0

We add all the numbers together, and all the variables

4z-70=0

We move all terms containing z to the left, all other terms to the right

4z=70

z=70/4

z=17+1/2

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