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3(t+1)=1/2-5t
We move all terms to the left:
3(t+1)-(1/2-5t)=0
Domain of the equation: 2-5t)!=0We add all the numbers together, and all the variables
We move all terms containing t to the left, all other terms to the right
-5t)!=-2
t!=-2/1
t!=-2
t∈R
3(t+1)-(-5t+1/2)=0
We multiply parentheses
3t-(-5t+1/2)+3=0
We get rid of parentheses
3t+5t+3-1/2=0
We multiply all the terms by the denominator
3t*2+5t*2-1+3*2=0
We add all the numbers together, and all the variables
3t*2+5t*2+5=0
Wy multiply elements
6t+10t+5=0
We add all the numbers together, and all the variables
16t+5=0
We move all terms containing t to the left, all other terms to the right
16t=-5
t=-5/16
t=-5/16
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