To solve the equation \( 3m - 5 = 6r + p \) for one of the variables, let's proceed step by step. Since the equation contains four variables (\(m\), \(r\), \(p\), and \(3\)), we typically need more information to solve for a specific variable. However, we can still express one variable in terms of the others. 

Let's solve for \(m\) in terms of \(r\) and \(p\):

\[
3m - 5 = 6r + p
\]

1. **Add 5 to both sides** to isolate the term involving \(m\):

\[
3m = 6r + p + 5
\]

2. **Divide both sides by 3** to solve for \(m\):

\[
m = \frac{6r + p + 5}{3}
\]

So, the solution for \(m\) is:

\[
m = \frac{6r + p + 5}{3}
\]

If you need to solve for a different variable or need further details, feel free to ask!

Would you like a detailed explanation of the steps? Here are some related questions you might find useful:

1. How do you solve for \(r\) in the equation \(3m - 5 = 6r + p\)?
2. Can you solve for \(p\) in terms of \(m\) and \(r\)?
3. What if \(m\) was given as 2? How would you solve the equation then?
4. How do you graph \(m = \frac{6r + p + 5}{3}\) in the \(m\)-\(r\) plane for a constant \(p\)?
5. What happens if \(p = 0\)? How does the equation simplify?

**Tip:** When dealing with multiple variables in an equation, isolating the variable of interest is usually the first step.

Learn how to solve the equation 3m - 5 = 6r + p with a detailed step-by-step solution. This problem covers algebraic concepts and formulas for linear equations. Suitable for students in Grades 7-9.

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