Let's solve the equation:

\[
\frac{1}{2}(3g - 2) = \frac{g}{2}
\]

### Step 1: Eliminate the denominators
Multiply both sides of the equation by 2 to get rid of the fractions:

\[
2 \times \frac{1}{2}(3g - 2) = 2 \times \frac{g}{2}
\]

This simplifies to:

\[
3g - 2 = g
\]

### Step 2: Solve for \( g \)
Now, subtract \( g \) from both sides to get the variable terms on one side:

\[
3g - g - 2 = g - g
\]

Simplifying:

\[
2g - 2 = 0
\]

### Step 3: Isolate \( g \)
Add 2 to both sides:

\[
2g = 2
\]

Now divide by 2:

\[
g = 1
\]

Thus, the solution is \( g = 1 \).

Do you have any questions or would you like more details?

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Here are 5 related questions:
1. How do you solve an equation with fractions?
2. What happens when you multiply both sides of an equation by a constant?
3. How can you check if your solution to an equation is correct?
4. How do you solve equations with variables on both sides?
5. What is the next step after eliminating denominators in an equation?

**Tip:** When dealing with fractions in an equation, multiplying by the least common denominator (LCD) can simplify things quickly!

Explore how to solve the linear equation 1/2(3g-2) = g/2 with a clear step-by-step explanation. This problem demonstrates how to eliminate fractions and solve for the variable g. It is ideal for students in Grades 6-8 learning about algebraic equations.

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