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5(1+z)=3(z+4)
We move all terms to the left:
5(1+z)-(3(z+4))=0
We add all the numbers together, and all the variables
5(z+1)-(3(z+4))=0
We multiply parentheses
5z-(3(z+4))+5=0
We calculate terms in parentheses: -(3(z+4)), so:We get rid of parentheses
3(z+4)
We multiply parentheses
3z+12
Back to the equation:
-(3z+12)
5z-3z-12+5=0
We add all the numbers together, and all the variables
2z-7=0
We move all terms containing z to the left, all other terms to the right
2z=7
z=7/2
z=3+1/2
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