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3/4z-5=1/4z-3
We move all terms to the left:
3/4z-5-(1/4z-3)=0
Domain of the equation: 4z!=0
z!=0/4
z!=0
z∈R
Domain of the equation: 4z-3)!=0We get rid of parentheses
z∈R
3/4z-1/4z+3-5=0
We multiply all the terms by the denominator
3*4z-5*4z+3-1=0
We add all the numbers together, and all the variables
3*4z-5*4z+2=0
Wy multiply elements
12z-20z+2=0
We add all the numbers together, and all the variables
-8z+2=0
We move all terms containing z to the left, all other terms to the right
-8z=-2
z=-2/-8
z=1/4
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