Two numbers \( a \) and \( b \) are chosen at random from the set of integers \( \{1,2,3, \ldots....

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Two numbers \( a \) and \( b \) are chosen at random from the
\( \mathrm{P} \)
set of integers \( \{1,2,3, \ldots \ldots, 15\} \). If the probability that the equation \( 2 a-3 b=0 \) is satisfied is \( p \), find the value of \( (84 p+2) \).


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