To determine whether \( n = -8 \) is a solution to the equation \( n = 32 + 5n \), we can substitute \( n = -8 \) into the equation and see if both sides are equal.
Starting with the equation: \[ n = 32 + 5n \]
Substituting \( n = -8 \): \[ -8 = 32 + 5(-8) \]
Calculating the right side: \[ -8 = 32 - 40 \] \[ -8 = -8 \]
Since both sides of the equation are equal, \( n = -8 \) is indeed a solution of the equation.
Answer: solution