To solve the equation \( 14w + 13w = 11 \) for \( w \), follow these steps:

1. **Combine like terms**:  
   \( 14w + 13w = (14 + 13)w = 27w \)

   So, the equation simplifies to:  
   \[
   27w = 11
   \]

2. **Isolate \( w \)**:  
   To solve for \( w \), divide both sides of the equation by 27:  
   \[
   w = \frac{11}{27}
   \]

Therefore, the solution is \( w = \frac{11}{27} \).

Would you like more details or have any questions?

Here are 5 related questions:
1. How would you solve the equation \( 3x + 5x = 16 \)?
2. What is the value of \( w \) if the equation was \( 14w + 13w = 27 \)?
3. How do you simplify the expression \( 5a + 3a + 7a \)?
4. What is the reciprocal of \( \frac{11}{27} \)?
5. How do you solve the equation \( 5w - 2w = 9 \)?

**Tip:** Always combine like terms before solving for the variable to simplify the equation.

Learn how to solve the equation 14w + 13w = 11 step-by-step. This problem covers algebraic concepts such as combining like terms and solving linear equations. Suitable for students in Grades 7-9.

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