To solve the equation \( 7(g + 8) = 49 \), follow these steps:

1. **Distribute the 7 on the left side**:
   \[
   7 \cdot g + 7 \cdot 8 = 49
   \]
   Simplifying:
   \[
   7g + 56 = 49
   \]

2. **Subtract 56 from both sides**:
   \[
   7g = 49 - 56
   \]
   Simplifying:
   \[
   7g = -7
   \]

3. **Divide both sides by 7**:
   \[
   g = \frac{-7}{7}
   \]
   Simplifying:
   \[
   g = -1
   \]

So, the solution is \( g = -1 \).

Would you like more details or explanations?

Here are 5 related questions:
1. How do you solve equations with multiple variables?
2. Can you solve \( 5(g + 3) = 30 \)?
3. What happens when there's no solution to an equation?
4. How do you graph the equation \( y = 7g + 56 \)?
5. What is the difference between linear and quadratic equations?

**Tip**: Always perform the same operation on both sides of the equation to maintain balance!

Discover how to solve the linear equation 7(g + 8) = 49 with a clear, step-by-step guide. This problem focuses on applying the distributive property and basic algebraic principles. Ideal for students in Grades 6-8.

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