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5t+12=8-t
We move all terms to the left:
5t+12-(8-t)=0
We add all the numbers together, and all the variables
5t-(-1t+8)+12=0
We get rid of parentheses
5t+1t-8+12=0
We add all the numbers together, and all the variables
6t+4=0
We move all terms containing t to the left, all other terms to the right
6t=-4
t=-4/6
t=-2/3
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