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.

Learn how to solve the linear equation 2 + 8c = 8 + 9c through a step-by-step process. This solution demonstrates key algebraic principles, including the subtraction of variable terms and simplification. Suitable for students in Grades 6-8.

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