To solve the equation \(-6g - 7 = 13 - 2g\), follow these steps:

1. **Move the variable terms to one side** by adding \(2g\) to both sides:
   \[
   -6g + 2g - 7 = 13 - 2g + 2g
   \]
   Simplifying this gives:
   \[
   -4g - 7 = 13
   \]

2. **Move the constant term to the other side** by adding \(7\) to both sides:
   \[
   -4g - 7 + 7 = 13 + 7
   \]
   Simplifying this gives:
   \[
   -4g = 20
   \]

3. **Solve for \(g\)** by dividing both sides by \(-4\):
   \[
   g = \frac{20}{-4} = -5
   \]

So, the solution is \(g = -5\).

Would you like more details or have any questions? Here are some related questions for further practice:

1. How would you solve \(3x - 4 = 12 + x\)?
2. What is the value of \(y\) in \(-5y + 6 = 2y - 8\)?
3. Solve for \(m\) in \(7m - 10 = -3m + 20\).
4. If \(4k - 9 = 15 + k\), what is \(k\)?
5. How can you check your solution to the equation \(-4g - 7 = 13\)?

**Tip:** When dealing with equations involving variables on both sides, it’s usually easiest to move all the variable terms to one side first.

Learn how to solve the equation -6g - 7 = 13 - 2g with a detailed step-by-step solution. This problem covers solving linear equations with variables on both sides. Suitable for high school level students.

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