Template fe_orderconfirm now will have the following in the bottom part:
-----
			<td class="productamount"><br>{$totalvat4amount}</td>
		</tr>
		{/if}
		<tr >
			<td class="productqty"><br>&nbsp;</td>
			<td class="productname">{$label_total_amount}</td>
			<td class="productprice">&nbsp;</td>
			<td class="productamount">{$total_amount}</td>
		</tr>
	</tbody>
</table>
<div>{$deliveryvia_label}{$deliveryvia}</div>
<br>
<div>{$paymentvia_label}{$paymentvia}</div>
-----
Change this part into:
-----
			<td class="productamount"><br>{$totalvat4amount}</td>
		</tr>
		{/if}
		{if $deliveryprice <> 0}
		<tr >
			<td >&nbsp;</td>
			<td ><br>{$deliveryvia}</td>
			<td >&nbsp;</td>
			<td class="productamount"><br>{$deliveryprice}</td>
		</tr>
		{/if}
		<tr >
			<td class="productqty"><br>&nbsp;</td>
			<td class="productname">{$label_total_amount}</td>
			<td class="productprice">&nbsp;</td>
			<td class="productamount">{$total_amount}</td>
		</tr>
	</tbody>
</table>
{if $deliveryprice == 0}
	<div>{$deliveryvia_label}{$deliveryvia}</div>
	<br>
{/if}
<div>{$paymentvia_label}{$paymentvia}</div>
-----

Notice that this handles the showing of the delivery method description and, if applicable, the amount. If you don't add these lines, the total amount will still contain the delivery amount (again if applicable).