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5t-12=3t+8
We move all terms to the left:
5t-12-(3t+8)=0
We get rid of parentheses
5t-3t-8-12=0
We add all the numbers together, and all the variables
2t-20=0
We move all terms containing t to the left, all other terms to the right
2t=20
t=20/2
t=10
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