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Componendo and Dividendo

Simplify 23...

Question

Simplify $2 (3 b - 5 a) - 7 [9 - 6 2 - 5 (a - 6)]$

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Solution

$= 2 (3 b - 5 a) - 7 [9 - 62 - 5 (a - 6)]$
$= 6 b - 10 a - (63 - 434 - 35 (a - 6))$
$= 6 b - 10 a - (63 - 434 - 35 a - 210)$
$= 6 b - 10 a - 63 + 434 + 35 a + 210$
$= 25 a + 6 b + 581.$

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