Let's solve the equation step by step:

The equation is:

\[
28v - 17v - 8v - 3 = 54
\]

### Step 1: Combine like terms
On the left side, combine the terms with \(v\):

\[
28v - 17v - 8v = 3v
\]

So, the equation becomes:

\[
3v - 3 = 54
\]

### Step 2: Add 3 to both sides to isolate the term with \(v\):

\[
3v - 3 + 3 = 54 + 3
\]

This simplifies to:

\[
3v = 57
\]

### Step 3: Divide both sides by 3 to solve for \(v\):

\[
v = \frac{57}{3}
\]

\[
v = 19
\]

Thus, \(v = 19\).

Would you like further details or clarifications on any step?

Here are 5 related questions for further exploration:
1. What would happen if you change the constant on the right-hand side of the equation?
2. How do we handle equations with more than one variable?
3. What is the process for solving equations with fractions?
4. How would you solve \( 5v - 12 + 7v = 30 \)?
5. What are the different methods to verify your solution?

**Tip**: Always check your solution by plugging the value of the variable back into the original equation.

Learn how to solve the linear equation 28v - 17v - 8v - 3 = 54 with a step-by-step solution. This problem focuses on simplifying like terms and using algebraic principles to solve for the variable. Suitable for students in Grades 6-8.

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