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6/7z+5=1/7z+10
We move all terms to the left:
6/7z+5-(1/7z+10)=0
Domain of the equation: 7z!=0
z!=0/7
z!=0
z∈R
Domain of the equation: 7z+10)!=0We get rid of parentheses
z∈R
6/7z-1/7z-10+5=0
We multiply all the terms by the denominator
-10*7z+5*7z+6-1=0
We add all the numbers together, and all the variables
-10*7z+5*7z+5=0
Wy multiply elements
-70z+35z+5=0
We add all the numbers together, and all the variables
-35z+5=0
We move all terms containing z to the left, all other terms to the right
-35z=-5
z=-5/-35
z=1/7
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