The given equation is:

$2 + 8c = 8 + 9c$

Let's solve for $c$.

Steps:

1. Subtract $8c$ from both sides:

$2 = 8 + c$

2. Subtract 8 from both sides:

$2 - 8 = c$

$c = -6$

Solution:

The value of $c$ is $-6$.

Would you like more details or have any questions?

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Here are 5 related questions:

1. How would you solve $3 + 7x = 10 + 4x$?
2. What happens when you subtract a variable term from both sides of an equation?
3. Can you solve $4 + 5y = 9 + 3y$?
4. What is the next step after moving all variable terms to one side of the equation?
5. How do you handle equations with fractions?

Tip: Always move the variable terms to one side to simplify the equation for solving.