Okay, we are tasked with adding 8094416737 and 6669444442. Let's begin!

Step 1: We'll start by adding the digits 7 & 2 in column 1 and get 9.

Step 2: We'll start by adding the digits 3 & 4 in column 2 and get 7.

Step 3: We'll start by adding the digits 7 & 4 in column 3 and get 11.
We'll write down the last digit 1 and carry the 1 to the next column.

Step 4: We'll start by adding the digits 6 & 4 in column 4 and get 11.
We'll write down the last digit 1 and carry the 1 to the next column.

Step 5: We'll start by adding the digits 1 & 4 in column 5 and get 6.

Step 6: We'll start by adding the digits 4 & 4 in column 6 and get 8.

Step 7: We'll start by adding the digits 4 & 9 in column 7 and get 13.
We'll write down the last digit 3 and carry the 1 to the next column.

Step 8: We'll start by adding the digits 9 & 6 in column 8 and get 16.
We'll write down the last digit 6 and carry the 1 to the next column.

Step 9: We'll start by adding the digits 0 & 6 in column 9 and get 7.

Step 10: We'll start by adding the digits 8 & 6 in column 10 and get 14.
We'll write down the last digit 4 and carry the 1 to the next column.

So, 8094416737 + 6669444442 = 14763861179.

