Let's solve the equation:

$\frac{11}{7}x + 6 = -16$

Step 1: Subtract 6 from both sides

$\frac{11}{7}x = -16 - 6$ $\frac{11}{7}x = -22$

Step 2: Multiply both sides of the equation by 7 to eliminate the fraction

$11x = -22 \times 7$ $11x = -154$

Step 3: Divide both sides by 11

$x = \frac{-154}{11}$ $x = -14$

So, the solution is:

$x = -14$

Would you like any further details or have any questions on this process?

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Related Questions:

1. How do you handle fractions in equations with variables?
2. What are the different methods to solve equations with fractions?
3. How do you solve equations with negative numbers?
4. What is the importance of isolating the variable in algebraic equations?
5. How would you check if $x = -14$ is correct for the original equation?

Tip: Always check your solution by substituting it back into the original equation to verify it works!