Final answer:
To solve the equation and find the value of n, we simplify the equation step-by-step, combining like terms and moving terms to different sides of the equation.
Step-by-step explanation:
To find the value of n that makes the equation true, we need to solve for n. Let's simplify the equation step-by-step.
1. Distribute the -1/3n and -9 to the expressions inside the brackets: in + 2 = -1/3n - 3n + 9
2. Combine like terms: in + 2 = -10/3n + 9
3. Move the in term to the right side of the equation: 2 = -10/3n + 9 - in
4. Simplify the equation further: 2 = (9 - in) - 10/3n
5. Combine like terms again: 2 = 9 - in - 10/3n
6. Move the -in term to the left side of the equation: 2 + in = 9 - 10/3n
7. Move the 2 to the right side of the equation: in = 9 - 10/3n - 2
8. Simplify the equation: in = 7 - 10/3n
To find the value of n, we need more information or another equation.