To solve the equation \(-12 = 2 + 5v + 2v\), follow these steps:

1. **Combine like terms** on the right-hand side:
   \[
   -12 = 2 + 7v
   \]
2. **Subtract 2** from both sides to isolate the term with \(v\):
   \[
   -12 - 2 = 7v
   \]
   \[
   -14 = 7v
   \]
3. **Divide both sides** by 7 to solve for \(v\):
   \[
   v = \frac{-14}{7}
   \]
   \[
   v = -2
   \]

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

Would you like any additional details or have any questions?

Here are 5 related questions to expand your understanding:
1. How do you solve an equation with variables on both sides?
2. What is the process for solving equations involving fractions?
3. How can you check if your solution to an equation is correct?
4. What happens if an equation has no solution or infinitely many solutions?
5. How do you solve a system of equations?

**Tip:** Always simplify the equation as much as possible before solving for the variable.

Learn how to solve the linear equation -12 = 2 + 7v with a detailed step-by-step solution. This problem focuses on key algebraic concepts such as combining like terms, isolating the variable, and solving for v. Suitable for students in Grades 6-8.

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