To solve the equation \( 2m + 8c = 6 \), you need to express one variable in terms of the other or find specific values for \(m\) and \(c\). 

Let's solve for \(m\) in terms of \(c\):

\[
2m + 8c = 6
\]

### Step 1: Subtract \(8c\) from both sides
\[
2m = 6 - 8c
\]

### Step 2: Divide both sides by 2
\[
m = \frac{6 - 8c}{2}
\]

Simplifying the right-hand side:
\[
m = 3 - 4c
\]

Thus, \(m = 3 - 4c\).

Do you want further details or have any questions?

Here are 5 related questions to extend your learning:
1. What happens if \(c = 0\)? What is the value of \(m\)?
2. Can you solve for \(c\) in terms of \(m\) from the original equation?
3. How would you graph the relationship between \(m\) and \(c\)?
4. What are the values of \(m\) and \(c\) if both are positive integers?
5. How does the equation change if the constant on the right-hand side is different?

**Tip**: Always isolate one variable step by step to make solving easier!

Explore how to solve the linear equation 2m + 8c = 6 with a step-by-step solution. This problem covers core algebraic concepts, including solving for one variable in terms of another and simplifying linear equations. Ideal for students in Grades 7-9.

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