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5t-(t-3)=15-2t
We move all terms to the left:
5t-(t-3)-(15-2t)=0
We add all the numbers together, and all the variables
5t-(t-3)-(-2t+15)=0
We get rid of parentheses
5t-t+2t+3-15=0
We add all the numbers together, and all the variables
6t-12=0
We move all terms containing t to the left, all other terms to the right
6t=12
t=12/6
t=2
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