To find the original integer, perform the inverse of each operation starting from 0. The opposite step is performed again as its inverse. After reversing all the steps, the original integer is found to be -12.
Step-by-step explanation:
To find the original integer, we need to work backwards through the list of operations provided. Knowing that the final answer is 0 helps us reverse the operations:
Subtract +3 (since we added +3 to reach the final answer, we need to reverse this by subtracting +3).
Add +6 (because we subtracted +6; in reverse, we add it back).
Find the opposite (since finding the opposite is its own inverse, we do this step again).
Subtract -5 (we need to add -5 to reverse the addition of -5).
Subtract +14 (we reverse the addition of +14 by subtracting it).
Now let's perform the steps:
Start with 0.
Subtract +3: 0 - (+3) = -3.
Add +6: -3 + (+6) = +3.
Find the opposite: The opposite of +3 is -3.
Subtract -5: -3 - (-5) = -3 + 5 = +2.
Subtract +14: +2 - (+14) = +2 - 14 = -12.
The original integer is -12.