To find the solution set of the equation 18 + 3n + 2n + 20 + 4n = 0, we will first simplify the left side of the equation.
1. **Combine like terms**:
- The terms involving n are 3n + 2n + 4n. If we add these together, we get:
- 3n + 2n + 4n = 9n.
2. **Combine constant terms**:
- The constant terms are 18 and 20. Adding these gives:
- 18 + 20 = 38.
3. **Rewrite the equation**: Now, substituting these back into the equation gives us:
9n + 38 = 0
4. **Isolate n**: To solve for n, we can isolate it:
- Subtract 38 from both sides:
- 9n = -38
- Now divide by 9:
- n = - rac{38}{9}
5. **Final solution set**: Therefore, the solution set for the equation is:
- { n = - rac{38}{9} }
This means that the only value of n that satisfies the equation is -38/9.