To solve the equation \( 7c - 2c = 45 \):

1. Combine like terms:
   \[
   (7c - 2c) = 5c
   \]
   The equation becomes:
   \[
   5c = 45
   \]

2. To isolate \( c \), divide both sides by 5:
   \[
   c = \frac{45}{5} = 9
   \]

So, the solution is \( c = 9 \).

Would you like further details or have any questions?

Here are 5 related questions to expand on this:
1. What is the general method for solving linear equations?
2. How do you check if a solution to an equation is correct?
3. How do you solve an equation with variables on both sides?
4. What are the steps to solve equations involving parentheses?
5. How can you solve equations that contain fractions?

**Tip:** Always double-check your answer by substituting it back into the original equation to verify!

Learn how to solve the linear equation 7c - 2c = 45 with a detailed step-by-step solution. This problem covers key algebraic concepts, such as combining like terms and simple division to isolate the variable. Suitable for students in Grades 6-8.

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