In "SHOWTHREAD" template find and cut: (this is tags and bookmarks code)
<if condition="$bookmarksites">
<!-- social bookmarking links -->
<br />
<table cellpadding="$stylevar[cellpadding]" cellspacing="$stylevar[cellspacing]" border="0" width="100%" class="tborder" align="center">
<tr>
<td class="thead">$vbphrase[bookmarks]</td>
</tr>
<tr>
<td class="alt2" style="padding-top:0px"><div style="clear:both"></div><ul style="list-style-type:none; margin:0px; padding:0px">$bookmarksites</ul><div style="clear:both"></div></td>
</tr>
</table>
<!-- / social bookmarking links -->
</if>
<if condition="$show['tag_box']">
<!-- thread tags -->
<br />
<table class="tborder" cellpadding="$stylevar[cellpadding]" cellspacing="$stylevar[cellspacing]" border="0" width="100%" align="center">
<tr>
<td class="thead">
<if condition="$show['manage_tag']"><div style="float: $stylevar[right]" class="normal">
<a href="threadtag.php?$session[sessionurl]t=$thread[threadid]" id="tag_edit_link">$vbphrase[edit_tags]</a>
</div></if>
<a name="taglist"></a>
<a href="tags.php$session[sessionurl_q]">$vbphrase[tags]</a>
</td>
</tr>
<tr>
<td class="alt1 smallfont" id="tag_list_cell">$tag_list</td>
</tr>
</table>
<script type="text/javascript" src="clientscript/vbulletin_ajax_taglist.js?v=$vboptions[simpleversion]"></script>
<script type="text/javascript" src="clientscript/vbulletin_ajax_tagsugg.js?v=$vboptions[simpleversion]"></script>
<!-- / thread tags -->
</if>
In the same template find: (its a little further down)
<!-- / quick reply -->
</if>
and paste the cut code below it.