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'Fill in the range that you want to copy
'Set CopyRng = sh.Range("A1:G1")

Sub CopyRangeFromMultiWorksheets()
    Dim sh As Worksheet
    Dim DestSh As Worksheet
    Dim Last As Long
    Dim CopyRng As Range

    With Application
        .ScreenUpdating = False
        .EnableEvents = False
    End With

    'Delete the sheet "RDBMergeSheet" if it exist
    Application.DisplayAlerts = False
    On Error Resume Next
    ActiveWorkbook.Worksheets("RDBMergeSheet").Delete
    On Error GoTo 0
    Application.DisplayAlerts = True

    'Add a worksheet with the name "RDBMergeSheet"
    Set DestSh = ActiveWorkbook.Worksheets.Add
    DestSh.Name = "RDBMergeSheet"

    'loop through all worksheets and copy the data to the DestSh
    For Each sh In ActiveWorkbook.Worksheets
        If sh.Name <> DestSh.Name Then

            'Find the last row with data on the DestSh
            Last = LastRow(DestSh)

            'Fill in the range that you want to copy
            Set CopyRng = sh.Range("A1:G1")

            'Test if there enough rows in the DestSh to copy all the data
            If Last + CopyRng.Rows.Count > DestSh.Rows.Count Then
                MsgBox "There are not enough rows in the Destsh"
                GoTo ExitTheSub
            End If

            'This example copies values/formats, if you only want to copy the
            'values or want to copy everything look at the example below this macro
            CopyRng.Copy
            With DestSh.Cells(Last + 1, "A")
                .PasteSpecial xlPasteValues
                .PasteSpecial xlPasteFormats
                Application.CutCopyMode = False
            End With

            'Optional: This will copy the sheet name in the H column
            DestSh.Cells(Last + 1, "H").Resize(CopyRng.Rows.Count).Value = sh.Name

        End If
    Next

ExitTheSub:

    Application.Goto DestSh.Cells(1)

    'AutoFit the column width in the DestSh sheet
    DestSh.Columns.AutoFit

    With Application
        .ScreenUpdating = True
        .EnableEvents = True
    End With
End Sub

 Function LastRow(sh As Worksheet)
    On Error Resume Next
    LastRow = sh.Cells.Find(What:="*", _
                            After:=sh.Range("A1"), _
                            Lookat:=xlPart, _
                            LookIn:=xlFormulas, _
                            SearchOrder:=xlByRows, _
                            SearchDirection:=xlPrevious, _
                            MatchCase:=False).Row
    On Error GoTo 0


'Tips to change the examples

'In the example above I copy the range A1:G1 but you can also use

'Set CopyRng = sh.UsedRange
'To copy all cells with data on the sheet

'Set CopyRng = sh.Range("A1").CurrentRegion
'To copy the current region of cell A1
'The current region is a range bounded by any combination of blank rows and blank column

'Set CopyRng = sh.Rows("1")
'To copy a whole row or rows( use "1:8" then)