The equation you have is:

\[
20 = -10 + \frac{2}{1}z
\]

We can solve for \( z \) by isolating it. Here are the steps:

### Step 1: Simplify the fraction
\[
\frac{2}{1} = 2
\]

So the equation becomes:
\[
20 = -10 + 2z
\]

### Step 2: Add 10 to both sides to move the constant term:
\[
20 + 10 = 2z
\]
\[
30 = 2z
\]

### Step 3: Divide both sides by 2 to solve for \( z \):
\[
z = \frac{30}{2}
\]
\[
z = 15
\]

Thus, \( z = 15 \).

Would you like further details or have any questions?

Here are some related questions:
1. How do you solve linear equations with fractions?
2. What is the process for isolating variables in equations?
3. How do you handle equations with negative constants?
4. What is the importance of simplifying fractions in equations?
5. How do we handle multi-step linear equations?

**Tip:** When solving equations with fractions, simplify the fractions as early as possible to make the rest of the solution easier!

Learn how to solve the linear equation 20 = -10 + 2z with a clear, step-by-step guide. This problem involves key algebraic concepts such as isolating variables, simplifying fractions, and solving multi-step linear equations. Suitable for students in Grades 6-8.

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