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2/3g-5=1/3g+4
We move all terms to the left:
2/3g-5-(1/3g+4)=0
Domain of the equation: 3g!=0
g!=0/3
g!=0
g∈R
Domain of the equation: 3g+4)!=0We get rid of parentheses
g∈R
2/3g-1/3g-4-5=0
We multiply all the terms by the denominator
-4*3g-5*3g+2-1=0
We add all the numbers together, and all the variables
-4*3g-5*3g+1=0
Wy multiply elements
-12g-15g+1=0
We add all the numbers together, and all the variables
-27g+1=0
We move all terms containing g to the left, all other terms to the right
-27g=-1
g=-1/-27
g=1/27
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