To solve the equation \( 6 = -k + 2 \) for \( k \), follow these steps:

### Step-by-Step Solution:
1. **Start with the equation**:
   \[
   6 = -k + 2
   \]

2. **Subtract 2 from both sides** to isolate the term involving \( k \):
   \[
   6 - 2 = -k
   \]
   This simplifies to:
   \[
   4 = -k
   \]

3. **Multiply both sides by -1** to solve for \( k \):
   \[
   -4 = k
   \]

Thus, \( k = -4 \), not \( -8 \).

If you initially thought \( k = -8 \), there may have been a mistake in either interpreting or solving the equation. The correct solution is \( k = -4 \).

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Would you like more details or have any further questions?

Here are 5 related questions to explore:

1. How do you solve linear equations with multiple variables?
2. What is the method for solving equations with fractions or decimals?
3. How do you check if a solution to an equation is correct?
4. What is the general strategy for isolating a variable in any equation?
5. How would this process change for more complex equations, such as quadratics?

**Tip**: Always double-check your arithmetic steps, especially when adding, subtracting, or working with negatives!

Learn how to solve the linear equation 6 = -k + 2. This detailed guide walks through each step of isolating the variable and solving for k. A great resource for students in Grades 6-8 learning basic algebra concepts like inverse operations and linear equations.

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