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5t+3=-3.5
We move all terms to the left:
5t+3-(-3.5)=0
We add all the numbers together, and all the variables
5t+6.5=0
We move all terms containing t to the left, all other terms to the right
5t=-6.5
t=-6.5/5
t=-1+1/3.3333333333333
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