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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
32z+2=0
We move all terms containing z to the left, all other terms to the right
32z=-2
z=-2/32
z=-1/16
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