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4z/10-6=-5z=
We move all terms to the left:
4z/10-6-(-5z)=0
We get rid of parentheses
4z/10+5z-6=0
We multiply all the terms by the denominator
4z+5z*10-6*10=0
We add all the numbers together, and all the variables
4z+5z*10-60=0
Wy multiply elements
4z+50z-60=0
We add all the numbers together, and all the variables
54z-60=0
We move all terms containing z to the left, all other terms to the right
54z=60
z=60/54
z=1+1/9
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