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-4(t-5)+7t=9t-3
We move all terms to the left:
-4(t-5)+7t-(9t-3)=0
We add all the numbers together, and all the variables
7t-4(t-5)-(9t-3)=0
We multiply parentheses
7t-4t-(9t-3)+20=0
We get rid of parentheses
7t-4t-9t+3+20=0
We add all the numbers together, and all the variables
-6t+23=0
We move all terms containing t to the left, all other terms to the right
-6t=-23
t=-23/-6
t=3+5/6
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