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Renaming Worksheets Via VBA

I am probably just having a stupid moment, however I have a problem

Whats the best way to rename a worksheet using VBA?

I was going to use a count function to count the number of worksheets, then change worksheet (eg) 10, 11 & 12

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VBA Code- To Pull All The Names Of The Worksheets In A Workbook
I just started playing with creating my own macros. I've written a macro to pull all the names of the worksheets in a workbook, now what I want to do is write a piece of code that will pull data from a cell in those worksheets.

So for instance I have all my worksheet names in cell A1 to A10, I want to pull the data from cell E1 from every worksheet in A1 to A10. Can someone help me with a sample code to work with. I'm still reading Power Progamming haven't gotten so far yet.

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VBA Code To Unmerge Cells On Specific Worksheets
I have a workbook with multiple worksheets. On some of those worksheets a have merged cells, so in order to paste new data I need to unmerge them first. Below is the code that I wrote for it. However it doesn’t work and returns “Run-time error '1004': Application-defined or object-defined error”. I looked at this post List Maximum Value From Each Worksheet and tried adding With – End With, but it failed too. As far as I understood the problem is that the Worksheets/Sheets object does not support UnMerge property, but I may be wrong. If I add ws.Activate line (test2) everything works fine.

However I was wondering if there is a way to do it WITHOUT activating the worksheets.

Sub test1()
Dim i As Integer, ws As Worksheet

For Each ws In ActiveWorkbook.Worksheets
Select Case ws.Name
Case "5 - Top Network Facilities", _
"5b - Top Arb Facilities"
For i = 0 To 9
ws.Range(Cells(2 + i * 5, 1), _
Cells(6 + i * 5, 1)).UnMerge
Next i
Case Else
End Select
Next ws
End Sub

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VBA CODE On Pasting On Last Row Of Data For Various Worksheets
I have got a workbook with 20 or more worksheets. Every quarter I need to paste/append new data on these worksheets (which has already got existing data from previous quarters). All worksheets have different rows of data, for eg One worksheet may have 10rows, the other may have 50. Hence when I am writing my code, I cannot specify the destination cell as for eg A11, or A51.

How do I write up a VBA code that looks for the last row of data on these various worksheets and then pastes the new information on the next row(new row).

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