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1/2t+8=5/2t-4
We move all terms to the left:
1/2t+8-(5/2t-4)=0
Domain of the equation: 2t!=0
t!=0/2
t!=0
t∈R
Domain of the equation: 2t-4)!=0We get rid of parentheses
t∈R
1/2t-5/2t+4+8=0
We multiply all the terms by the denominator
4*2t+8*2t+1-5=0
We add all the numbers together, and all the variables
4*2t+8*2t-4=0
Wy multiply elements
8t+16t-4=0
We add all the numbers together, and all the variables
24t-4=0
We move all terms containing t to the left, all other terms to the right
24t=4
t=4/24
t=1/6
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