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1/4z+4=5/4z-8
We move all terms to the left:
1/4z+4-(5/4z-8)=0
Domain of the equation: 4z!=0
z!=0/4
z!=0
z∈R
Domain of the equation: 4z-8)!=0We get rid of parentheses
z∈R
1/4z-5/4z+8+4=0
We multiply all the terms by the denominator
8*4z+4*4z+1-5=0
We add all the numbers together, and all the variables
8*4z+4*4z-4=0
Wy multiply elements
32z+16z-4=0
We add all the numbers together, and all the variables
48z-4=0
We move all terms containing z to the left, all other terms to the right
48z=4
z=4/48
z=1/12
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