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(1-t)=3(1-t)2-3(1-t)+6
We move all terms to the left:
(1-t)-(3(1-t)2-3(1-t)+6)=0
We add all the numbers together, and all the variables
(-1t+1)-(3(-1t+1)2-3(-1t+1)+6)=0
We get rid of parentheses
-1t-(3(-1t+1)2-3(-1t+1)+6)+1=0
We calculate terms in parentheses: -(3(-1t+1)2-3(-1t+1)+6), so:We get rid of parentheses
3(-1t+1)2-3(-1t+1)+6
We multiply parentheses
-6t+3t+6-3+6
We add all the numbers together, and all the variables
-3t+9
Back to the equation:
-(-3t+9)
-1t+3t-9+1=0
We add all the numbers together, and all the variables
2t-8=0
We move all terms containing t to the left, all other terms to the right
2t=8
t=8/2
t=4
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