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2t/9-6=-74/9
We move all terms to the left:
2t/9-6-(-74/9)=0
We get rid of parentheses
2t/9-6+74/9=0
We multiply all the terms by the denominator
2t+74-6*9=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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