Simplify and solve the following linear equation:
$3 (t - 3) = 5 (2 t + 1)$

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Solution

$3 t - 9 = 10 t + 5$
Transpose $10 t$ to LHS and $9$ to RHS
$3 t - 10 t = 5 + 9$
$- 7 t = 14$
$t = - \frac{14}{7}$
$t = - 2$

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