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Question
Solve the following:
`(3t - 2)/3 + (2t + 3)/2 = t + 7/6`
Solution
Given, `(3t - 2)/3 + (2t + 3)/2 = t + 7/6`
⇒ `(2(3t - 2) + 3(2t + 3))/6 = (6t + 7)/6`
⇒ 6t – 4 + 6t + 9 = 6t + 7
⇒ 12t + 5 = 6t + 7
⇒ 12t – 6t = 7 – 5 ...[Transposing 6t to LHS and 5 to RHS]
⇒ 6t = 2
⇒ `(6t)/6 = 2/6` ...[Dividing both sides by 6]
∴ `t = 1/3`
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