To solve the equation \( 9c + 1 = 10 \), follow these steps:

1. Subtract 1 from both sides of the equation to isolate the term with the variable \( c \):
   \[
   9c = 10 - 1
   \]
   \[
   9c = 9
   \]

2. Divide both sides by 9 to solve for \( c \):
   \[
   c = \frac{9}{9}
   \]
   \[
   c = 1
   \]

So, the solution is \( c = 1 \).

Would you like more details on this solution, or do you have any questions?

Here are 5 related questions:
1. How do you solve \( 8x + 2 = 18 \)?
2. What if the equation was \( 9c - 2 = 10 \)?
3. How do you solve \( 5b + 4 = 3b + 10 \)?
4. How would you solve \( 9c + 3 = 12 \)?
5. What happens if you divide both sides by a fraction?

**Tip:** Always perform the same operation on both sides of the equation to keep it balanced.

Learn how to solve the linear equation 9c + 1 = 10 with a clear step-by-step solution. This problem demonstrates fundamental algebraic concepts like isolating the variable and applying basic operations to both sides of the equation. Ideal for students in Grades 6-8.

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