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1/8(z-1)=-2/3(z+3)
We move all terms to the left:
1/8(z-1)-(-2/3(z+3))=0
Domain of the equation: 8(z-1)!=0
z∈R
Domain of the equation: 3(z+3))!=0We calculate fractions
z∈R
(3zz/(8(z-1)*3(z+3)))+(-(-16zz)/(8(z-1)*3(z+3)))=0
We calculate terms in parentheses: +(3zz/(8(z-1)*3(z+3))), so:
3zz/(8(z-1)*3(z+3))
We multiply all the terms by the denominator
3zz
Back to the equation:
+(3zz)
We calculate terms in parentheses: +(-(-16zz)/(8(z-1)*3(z+3))), so:
-(-16zz)/(8(z-1)*3(z+3))
We multiply all the terms by the denominator
-(-16zz)
We get rid of parentheses
16zz
Back to the equation:
+(16zz)
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