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-10.82+14.6t=16.38-12.8t-5.28
We move all terms to the left:
-10.82+14.6t-(16.38-12.8t-5.28)=0
We add all the numbers together, and all the variables
14.6t-(-12.8t+11.1)-10.82=0
We get rid of parentheses
14.6t+12.8t-11.1-10.82=0
We add all the numbers together, and all the variables
27.4t-21.92=0
We move all terms containing t to the left, all other terms to the right
27.4t=21.92
t=21.92/27.4
t=5.5918367346939/6.9897959183673
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