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Assuming you want the code to change to where you put your cursor (or to be more exact, the cell you clicked): 
 

<pre><code class="code-10 nolinks" id="code-20-40437908-1">Sub Remove_Blanks()
'
' Remove_Blanks Macro
' Delete blank rows
'

'
 ActiveCell.Select
 
 Range(Selection, Selection.End(xlDown)).Select
 Selection.EntireRow.Delete
 If ActiveSheet.FilterMode = True Then
 ActiveSheet.ShowAllData
 End If
 Range(&quot;A2&quot;).Select
End Sub
</code></pre>
 
Your code is set to delete stuff, while your post mentions moving down, which is basically a different thing. I left the code as it is, until you ask for other instructions.
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Ignoring the deleting of the blank rows part, I just want the line of code shown below to move down a single row rather than going to this particular cell: 
 
Range(&quot;A1342&quot;).Select
</div>

<div>
<pre><code class="code-1 nolinks" id="code-20-40437990-1">Sub Move_down()
'
' select current
' Jump one cell down

 ActiveCell.Select
 Selection.Offset(1, 0).Select
 
End Sub
</code></pre>
 
This code just jumps one down. From where you clicked the last time (as you said, you don't want to specify the cell, which means you have to click a cell and then run this code)
</div>

<div>
Because a user on my end figured it out.
</div>

<div>
<div class="content wysiwyg-content">
I only know a little about VB - enough to be dangerous. If I have the following code, how can I change it to move down a single row without it naming a specific range – “A1342” in this example????? I do not want it to put the actual range in there; I just want to move down a single row. Thanks. 
 
Sub Remove_Blanks() 
' 
' Remove_Blanks Macro 
' Delete blank rows 
' 
 
' 
&nbsp; &nbsp; Range(&quot;A1342&quot;).Select 
&nbsp; &nbsp; Range(Selection, Selection.End(xlDown)).Select 
&nbsp; &nbsp; Selection.EntireRow.Delete 
&nbsp; &nbsp; ActiveSheet.ShowAllData 
&nbsp; &nbsp; Range(&quot;A2&quot;).Select 
End Sub
</div>
</div>

I only know a little about VB - enough to be dangerous. If I have the following code, how can I change it to move down a single row without it naming a specific range – “A1342” in this example????? I do not want it to put the actual range in there; I just want to move down a single row. Thanks.

Sub Remove_Blanks()
'
' Remove_Blanks Macro
' Delete blank rows
'

'
    Range("A1342").Select
    Range(Selection, Selection.End(xlDown)).Select
    Selection.EntireRow.Delete
    ActiveSheet.ShowAllData
    Range("A2").Select
End Sub

Excel 2013 - VB code for a simple process to move down a single row

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