Sure, let's break down the calculations step by step:
### Step 1: Calculate the difference of 12 and 9
Firstly, we need to find the difference between 12 and 9.
[tex]\[ 12 - 9 = 3 \][/tex]
So, the difference is 3.
### Step 2: Multiply the difference by 6
Next, we multiply the difference (which we found to be 3) by 6.
[tex]\[ 6 \times 3 = 18 \][/tex]
So, the result of the multiplication is 18.
### Step 3: Divide the result by 3
Finally, we take the result from the previous step (which is 18) and divide it by 3.
[tex]\[ 18 \div 3 = 6 \][/tex]
So, the final result is 6.
Hence, when you multiply 6 by the difference of 12 and 9, and then divide by 3, the result is 6.