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4t+45=-3t-38
We move all terms to the left:
4t+45-(-3t-38)=0
We get rid of parentheses
4t+3t+38+45=0
We add all the numbers together, and all the variables
7t+83=0
We move all terms containing t to the left, all other terms to the right
7t=-83
t=-83/7
t=-11+6/7
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