To solve the equation \(-z + 7 = 6\) for \(z\), follow these steps:

1. **Isolate the variable term**:  
   Subtract 7 from both sides of the equation to move the constant term to the right side.
   \[
   -z + 7 - 7 = 6 - 7
   \]
   Simplifying both sides:
   \[
   -z = -1
   \]

2. **Solve for \(z\)**:  
   To isolate \(z\), multiply both sides by \(-1\) to remove the negative sign.
   \[
   z = 1
   \]

So, the solution is \(z = 1\).

Would you like more details or have any questions?

Here are some related questions:
1. How do you solve an equation where the variable has a negative coefficient?
2. What steps should you follow when both sides of the equation are negative?
3. How can you verify the solution of a linear equation?
4. What if the equation was \( -z + 7 = 0 \)? What would \(z\) be?
5. How can you apply this method to equations with multiple variables?

**Tip:** Always double-check your solution by substituting the value of the variable back into the original equation.

Learn how to solve the equation -z + 7 = 6 for z with a detailed step-by-step solution. This problem covers basic concepts of linear equations and solving for variables. Suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation