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Alkene and Alkyne Mechanisms

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In my organic class we are studying alkenes and alkynes. I am familiar with the addition and elimination procedures. However, I am unclear of how some of the mechanism go since my book only deals with the straight forward mechanisms such as halogenation, hydration, etc. Please see the attachment.

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The solution is given in an attachment in 350-400 words, explaining the mechanism of alkenes and alkynes.

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