Answer:
The number is -11.
Explanation:
In order to solve the equation "Thirty-two increased by 4 times a number is negative twelve," you can set up the equation and solve for the unknown number.
This can be represented as follows:

where x is the unknown number.
Now, let's solve for x.
Subtract 32 from both sides:


Divide both sides by 4:


So, the solution for the number is -11.