Final answer:
The equation that has the same coefficients and constants is '-n + 5 = 5 - n', where both sides have a coefficient of -1 for 'n' and a constant of 5.
Therefore, the correct answer is: option "-n+5=5-n".
Step-by-step explanation:
The question requires identification of which equation has coefficients that are the same and constants that are the same.
Comparing each of the provided equations:
- 2n + 1 = 2n - 4
- -6n - 8 = 6n - 3
- 9n - 4 - 4 - 9n
- -n + 5 = 5 - n
We can see the only equations with the same coefficients and constants are the fourth one, -n + 5 = 5 - n.
Both sides of the equation have the same coefficient for 'n' (which is -1) and the same constant (which is 5).
All other listed equations do not have the same coefficients for 'n' and constants on both sides of the equation.