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1/2t-6=3/2t-3
We move all terms to the left:
1/2t-6-(3/2t-3)=0
Domain of the equation: 2t!=0
t!=0/2
t!=0
t∈R
Domain of the equation: 2t-3)!=0We get rid of parentheses
t∈R
1/2t-3/2t+3-6=0
We multiply all the terms by the denominator
3*2t-6*2t+1-3=0
We add all the numbers together, and all the variables
3*2t-6*2t-2=0
Wy multiply elements
6t-12t-2=0
We add all the numbers together, and all the variables
-6t-2=0
We move all terms containing t to the left, all other terms to the right
-6t=2
t=2/-6
t=-1/3
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