Let's solve the equation \(-12 = 2 + 5v + 2v\).

1. **Combine like terms** on the right side of the equation:
   \[
   5v + 2v = 7v
   \]
   So the equation becomes:
   \[
   -12 = 2 + 7v
   \]

2. **Isolate the term with the variable** by subtracting 2 from both sides:
   \[
   -12 - 2 = 7v
   \]
   Simplifying this gives:
   \[
   -14 = 7v
   \]

3. **Solve for \(v\)** by dividing both sides by 7:
   \[
   v = \frac{-14}{7} = -2
   \]

So, the solution is \(v = -2\).

Would you like more details on this solution, or do you have any other questions?

Here are five related questions to explore further:
1. What is the solution to \(-15 = 3 + 4v + 3v\)?
2. How would the equation change if the constant term was on the left side?
3. What happens if you add 3 to both sides of the equation \(-12 = 2 + 5v + 2v\)?
4. How would you solve the equation \(-12 = 4 + 6v\)?
5. What is the result if you multiply both sides of the equation by 2 before solving?

**Tip:** Always combine like terms first to simplify the equation before isolating the variable.

Learn how to solve the equation -12 = 2 + 5v + 2v with a detailed step-by-step solution. This problem covers key algebraic concepts, including combining like terms and isolating variables. Suitable for students in Grades 7-9.

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