To solve the equation \( 8n = -3 + 1 \):

1. Simplify the right-hand side:
   \[
   -3 + 1 = -2
   \]
   So the equation becomes:
   \[
   8n = -2
   \]

2. Now, solve for \( n \) by dividing both sides by 8:
   \[
   n = \frac{-2}{8}
   \]

3. Simplify the fraction:
   \[
   n = \frac{-1}{4}
   \]

Thus, \( n = -\frac{1}{4} \).

Would you like further explanation or have any questions?

Here are 5 related questions to explore:

1. What is the solution to \( 5x = -10 + 6 \)?
2. Solve for \( m \): \( 3m + 2 = 5m - 4 \).
3. How do you solve \( 9y = -27 \)?
4. If \( k = \frac{3}{4} \), what is \( 8k + 4 \)?
5. Solve \( 7x + 3 = 4x - 6 \).

**Tip:** When solving linear equations, always simplify both sides before isolating the variable.

Learn how to solve the linear equation 8n = -3 + 1 with a step-by-step explanation. This problem demonstrates basic algebraic techniques for simplifying and solving equations by isolating variables. Suitable for students in Grades 6-8.

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