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\(Find all values of $t$ such that $6t - \frac23 + \frac{t}{5} = 4 + \frac{2-t}{3}$. If you find more than one answer, enter every answer you find as a list separated by commas.\)

 May 17, 2021
 #1
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6t  - t/5  = 4  +  (2 - t)  / 3

 

Multiply through  by  LCM  of 3, 5  =  15

 

90t  - 3t   = 60  +  5 ( 2 - t)

 

90t  - 3t   =  60  + 10   - 5t

 

87t  =  70  - 5t

 

87  +  5t  =  70

 

92t   = 70

 

t  =  70  / 92     =   35  / 46

 

 

cool cool cool

 May 17, 2021

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