To solve the equation \( 10m - p = -n \) for \( m \), follow these steps:

### Step-by-step:

1. Start with the equation:
   \[
   10m - p = -n
   \]

2. Add \( p \) to both sides to isolate the term with \( m \):
   \[
   10m = -n + p
   \]

3. Divide both sides by 10 to solve for \( m \):
   \[
   m = \frac{-n + p}{10}
   \]

Thus, the solution for \( m \) is:
\[
m = \frac{-n + p}{10}
\]

Would you like more details or clarification?

### Related Questions:
1. How do you isolate a variable in other types of equations?
2. What if the coefficient of \( m \) was a fraction instead of 10?
3. How can you solve similar equations with more variables?
4. What if there were squares or cubes involved in the equation?
5. How would this solution change if \( n \) or \( p \) were negative?

### Tip:
Always check your solution by plugging it back into the original equation to verify it satisfies the equation.

This guide walks through solving the linear equation 10m - p = -n for the variable m. Learn the step-by-step process of isolating m, using basic algebraic operations such as addition and division. Ideal for students in Grades 6-8 studying algebraic equations.

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