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Your music collection grows by 20 songs every week. If you currently have 1,000 songs, how many weeks will it take to amass 3,500 songs?

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The \(2\) lines

\[mx-4y-5m+3=0, \\ 12x+(m+17)y+7m-29=0\]

are perpendicular to each other for some real number \(m\). What is \(m\)?

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