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3(t-2)+5=4t+1/2
We move all terms to the left:
3(t-2)+5-(4t+1/2)=0
We add all the numbers together, and all the variables
3(t-2)-(+4t+1/2)+5=0
We multiply parentheses
3t-(+4t+1/2)-6+5=0
We get rid of parentheses
3t-4t-6+5-1/2=0
We multiply all the terms by the denominator
3t*2-4t*2-1-6*2+5*2=0
We add all the numbers together, and all the variables
3t*2-4t*2-3=0
Wy multiply elements
6t-8t-3=0
We add all the numbers together, and all the variables
-2t-3=0
We move all terms containing t to the left, all other terms to the right
-2t=3
t=3/-2
t=-1+1/2
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