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Question
Solve the linear equation:
`(3t - 2)/4 - (2t + 3)/3 = 2/3 - t`
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Solution
`(3t - 2)/4 - (2t + 3)/3 = 2/3 - t`
`(3t)/4 - 2/4 - [(2t)/3 + 2/3] = 2/3 - t`
`(3t)/4 - 1/2 - (2t)/3 - 1 = 2/3 - t`
`(3t)/4 - (2t)/3 + t = 2/3 + 1/2 + 1`
`(9t - 8t + 12t)/12 = (4 + 3 + 6)/6`
`(13t)/12 = 13/6`
`t = 12/6`
t = 2
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