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5z-3=7+3z=
We move all terms to the left:
5z-3-(7+3z)=0
We add all the numbers together, and all the variables
5z-(3z+7)-3=0
We get rid of parentheses
5z-3z-7-3=0
We add all the numbers together, and all the variables
2z-10=0
We move all terms containing z to the left, all other terms to the right
2z=10
z=10/2
z=5
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