Solve for zz.
minus, 1, plus, 8, z, equals, minus, 73
−1+8z=
−73

To solve for \( z \) in the equation:

\[
-1 + 8z = -73
\]

### Step-by-step solution:

1. **Add 1 to both sides** of the equation to get rid of the -1 on the left-hand side:
   \[
   -1 + 1 + 8z = -73 + 1
   \]
   This simplifies to:
   \[
   8z = -72
   \]

2. **Divide both sides by 8** to solve for \( z \):
   \[
   z = \frac{-72}{8}
   \]
   Simplifying the division:
   \[
   z = -9
   \]

### Final answer:
\[
z = -9
\]

Would you like more details or have any questions?

Here are 5 related questions to explore further:
1. What is the process for solving equations with variables on both sides?
2. How do you check if your solution to an equation is correct?
3. What happens when you have an equation with fractions?
4. How would the solution change if the equation were \( -1 + 8z = 73 \)?
5. How can solving simple equations help with solving systems of equations?

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

Learn how to solve the linear equation -1 + 8z = -73 with a detailed step-by-step guide. This solution demonstrates key algebraic concepts such as the addition and division properties of equality. Ideal 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