How can i display a jquery slide on front page

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As Jerome mentioned in his comment, including your own version of jQuery via a script tag is wrong. Nextgen adds the WordPress supplied version correctly via wp_enqueue_script, which creates the conflict.

  1. Remove the inclusion of jQuery via script tag.
  2. Properly enqueue your other javascript files with jQuery as a dependency.
  3. Fix your jQuery code to work in noConflict mode.