To solve the linear equation 6k + 105 + 3k + 12 + k + 05 + k + 2 + k + 73 + k + 9 = 0, we first need to simplify the equation by combining like terms.
1. **Combine the ‘k’ terms**:
- 6k + 3k + k + k + k + k = 6k + 3k + 5k = 15k
2. **Combine the constant terms**:
- 105 + 12 + 5 + 2 + 73 + 9 = 206
Now, replace the original parts in the equation:
15k + 206 = 0
3. **Isolate ‘k’**:
- Subtract 206 from both sides: 15k = -206
- Now, divide both sides by 15: k = - rac{206}{15}
4. **Final answer**:
The solution to the linear equation is k = -13.7333… (approximately).
In conclusion, we’ve simplified the equation, combined like terms, and isolated k to find the solution. This method can be applied to any linear equation to efficiently find the value of the variable.