We can solve the equation \( 12v - 13 - 13v = 17 \) step by step:

### Step 1: Combine like terms.
On the left-hand side, combine the terms involving \( v \):
\[
12v - 13v = -v
\]
So, the equation becomes:
\[
-v - 13 = 17
\]

### Step 2: Isolate \( v \).
Add 13 to both sides of the equation:
\[
-v = 17 + 13
\]
\[
-v = 30
\]

### Step 3: Solve for \( v \).
Multiply both sides by -1:
\[
v = -30
\]

Thus, the solution is \( v = -30 \).

Would you like further details, or do you have any questions?

Here are 5 related questions you could explore:
1. How do you solve \( 15v - 20 - 18v = 40 \)?
2. What happens when there are fractions in the equation?
3. How would you solve \( 3x + 4 = 7x - 10 \)?
4. What is the difference between solving linear equations with one variable vs. two variables?
5. Can you describe the process of isolating a variable in any equation?

**Tip:** Always combine like terms as a first step when simplifying equations to reduce complexity early.

Discover how to solve the linear equation 12v - 13 - 13v = 17 with a step-by-step approach. This guide covers key algebraic concepts such as combining like terms and isolating the variable, making it ideal for students in Grades 6-8.

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