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

\[
2.1(g + 1) - 6 = 2.4
\]

### Step 1: Distribute the 2.1
\[
2.1g + 2.1 - 6 = 2.4
\]

### Step 2: Simplify the constants on the left side
\[
2.1g - 3.9 = 2.4
\]

### Step 3: Add 3.9 to both sides to isolate the term with \( g \)
\[
2.1g = 2.4 + 3.9
\]
\[
2.1g = 6.3
\]

### Step 4: Divide both sides by 2.1
\[
g = \frac{6.3}{2.1}
\]
\[
g = 3
\]

So, the solution is \( g = 3 \).

Would you like more details or have any questions?

Here are 5 related questions to expand your understanding:
1. How would the solution change if the constant on the right side were a different number?
2. How do we handle negative coefficients when solving for a variable?
3. What happens if you distribute incorrectly? How does that affect the solution?
4. How can we verify the solution by substituting \( g = 3 \) back into the original equation?
5. How does the order of operations play a role in solving this equation?

**Tip:** Always distribute first before combining like terms when solving equations.

Master the steps to solve the linear equation 2.1(g + 1) − 6 = 2.4. This algebra problem involves using the distributive property and isolating variables, making it ideal for students in Grades 7-9. Follow the detailed, step-by-step solution to enhance your understanding.

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