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3t+9=7t-3
We move all terms to the left:
3t+9-(7t-3)=0
We get rid of parentheses
3t-7t+3+9=0
We add all the numbers together, and all the variables
-4t+12=0
We move all terms containing t to the left, all other terms to the right
-4t=-12
t=-12/-4
t=+3
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