Answer:n = 24
Explanation:Let's start by writing the verbal phrase as a variable expression:
One third of a number is equal to -8 plus the number:
1/3 * n = -8 + n
Next, we'll isolate the variable "n" by subtracting "n" from both sides of the equation:
1/3 * n - n = -8 + n - n
Combining like terms:
-2/3 * n = -8
Finally, to solve for "n", we'll multiply both sides of the equation by -3/2:
n = 24
So the value of "n" that makes the equation true is 24.