Answer:
Therefore, the unknown number is 5.
Explanation:
We can translate "Eight times the difference of a number and six is negative eight" into an algebraic equation as given below,
8(x - 6)
= -8 (where x is the unknown number we are trying to find)
The expression "the difference of a number and six" means x - 6. So, "eight times the difference of a number and six" means 8(x - 6).
The equation states that the product of 8 and the difference of the number x and 6 is equal to -8.
To solve for x, we can simplify the equation,
8(x - 6) = -8
8x - 48 = -8
8x = 40
x = 5
Therefore, the unknown number is 5.