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2t-6(1+2t)=2t+9(5t+12)
We move all terms to the left:
2t-6(1+2t)-(2t+9(5t+12))=0
We add all the numbers together, and all the variables
2t-6(2t+1)-(2t+9(5t+12))=0
We multiply parentheses
2t-12t-(2t+9(5t+12))-6=0
We calculate terms in parentheses: -(2t+9(5t+12)), so:We add all the numbers together, and all the variables
2t+9(5t+12)
We multiply parentheses
2t+45t+108
We add all the numbers together, and all the variables
47t+108
Back to the equation:
-(47t+108)
-10t-(47t+108)-6=0
We get rid of parentheses
-10t-47t-108-6=0
We add all the numbers together, and all the variables
-57t-114=0
We move all terms containing t to the left, all other terms to the right
-57t=114
t=114/-57
t=-2
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