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3z+2=47-2z
We move all terms to the left:
3z+2-(47-2z)=0
We add all the numbers together, and all the variables
3z-(-2z+47)+2=0
We get rid of parentheses
3z+2z-47+2=0
We add all the numbers together, and all the variables
5z-45=0
We move all terms containing z to the left, all other terms to the right
5z=45
z=45/5
z=9
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