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3t+8=4t+3=
We move all terms to the left:
3t+8-(4t+3)=0
We get rid of parentheses
3t-4t-3+8=0
We add all the numbers together, and all the variables
-1t+5=0
We move all terms containing t to the left, all other terms to the right
-t=-5
t=-5/-1
t=+5
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