Solve for g.

4g − 11.99 = –19.34 + 3.5g

To solve for \( g \) in the equation

\[ 4g - 11.99 = -19.34 + 3.5g \]

we will follow these steps:

1. Combine like terms involving \( g \) on both sides.
2. Isolate \( g \) by moving all terms involving \( g \) to one side and constants to the other side.

Let's solve it step-by-step:

1. Combine like terms:

Subtract \( 3.5g \) from both sides to get all terms involving \( g \) on one side:

\[ 4g - 3.5g - 11.99 = -19.34 \]

\[ 0.5g - 11.99 = -19.34 \]

2. Isolate \( g \):

Add \( 11.99 \) to both sides to move the constants to one side:

\[ 0.5g = -19.34 + 11.99 \]

\[ 0.5g = -7.35 \]

3. Solve for \( g \):

Divide both sides by 0.5:

\[ g = \frac{-7.35}{0.5} \]

\[ g = -14.7 \]

Thus, the solution is:

\[ g = -14.7 \]

Would you like more details or have any questions about this solution?

Here are some related questions to expand your understanding:

1. How do you solve equations with variables on both sides?
2. What are like terms, and how do you combine them?
3. How can you check your solution to an equation?
4. What are some common mistakes to avoid when solving equations?
5. How do you solve equations with fractions or decimals?
6. What are the steps to isolate the variable in an equation?
7. How do you solve an equation involving absolute values?
8. What strategies can be used to solve multi-step equations?

**Tip:** When working with equations, always keep your work organized and show each step clearly to avoid mistakes.

Learn how to solve the equation 4g - 11.99 = -19.34 + 3.5g step-by-step. This problem involves linear equations and combining like terms. Suitable for students in Grades 7-9.

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