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6(t-1)=9(t+3)
We move all terms to the left:
6(t-1)-(9(t+3))=0
We multiply parentheses
6t-(9(t+3))-6=0
We calculate terms in parentheses: -(9(t+3)), so:We get rid of parentheses
9(t+3)
We multiply parentheses
9t+27
Back to the equation:
-(9t+27)
6t-9t-27-6=0
We add all the numbers together, and all the variables
-3t-33=0
We move all terms containing t to the left, all other terms to the right
-3t=33
t=33/-3
t=-11
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