Solve the line equation : 3(t-3)=5(t+2)$.

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Solution

$3 (t - 3) = 5 (t + 2)$
$\Rightarrow$ $3 t - 9 = 5 t + 10$
$\Rightarrow$ $3 t - 5 t = 10 + 9$
$\Rightarrow$ $- 2 t = 19$
$\Rightarrow$ $t = \frac{- 19}{2} = - 9.5$

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