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-6.5t+15=-9.7t+53.8
We move all terms to the left:
-6.5t+15-(-9.7t+53.8)=0
We get rid of parentheses
-6.5t+9.7t-53.8+15=0
We add all the numbers together, and all the variables
3.2t-38.8=0
We move all terms containing t to the left, all other terms to the right
3.2t=38.8
t=38.8/3.2
t=12+0.39999999999999/3.2
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