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9(t-4)-7(t-6)=32
We move all terms to the left:
9(t-4)-7(t-6)-(32)=0
We multiply parentheses
9t-7t-36+42-32=0
We add all the numbers together, and all the variables
2t-26=0
We move all terms containing t to the left, all other terms to the right
2t=26
t=26/2
t=13
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