The product of some negative number and 22 less than twice that number is 220220. find the number.

Let's start by transforming that statement. Let number = x

The product of some negative number and 22 less than twice that number is 220220

Product means sum, i. e. when they are added. So:

-x + 2x - 22 = 220220

(Note how I transformed those words into that expression ^)

Now we solve:

x - 22 = 220220

x = 220242

- Side note, sorry but I could be wrong. The product could mean when multiplied, in which case simplify '-x * (2x - 22) = 220220'