Let's solve the equation step by step:

\[
6(5 - 8v) + 12 = -54
\]

### Step 1: Distribute the \(6\) across the terms inside the parentheses:

\[
6 \times 5 - 6 \times 8v + 12 = -54
\]

This simplifies to:

\[
30 - 48v + 12 = -54
\]

### Step 2: Combine like terms:

\[
30 + 12 = 42
\]

So the equation becomes:

\[
42 - 48v = -54
\]

### Step 3: Subtract \(42\) from both sides:

\[
-48v = -54 - 42
\]

\[
-48v = -96
\]

### Step 4: Divide both sides by \(-48\):

\[
v = \frac{-96}{-48}
\]

\[
v = 2
\]

### Final Answer:
\[
v = 2
\]

Would you like more details or have any questions?

Here are 5 related questions to expand on this:

1. How do you solve equations with multiple terms inside parentheses?
2. What happens when you distribute a negative number?
3. How do you solve for a variable when it appears on both sides of the equation?
4. What is the process of simplifying expressions by combining like terms?
5. How do you check your solution to an equation?

**Tip:** Always double-check your work by substituting your solution back into the original equation!

Learn how to solve the linear equation 6(5 - 8v) + 12 = -54 with a step-by-step explanation. This problem explores algebraic concepts such as the distributive property, combining like terms, and solving for variables. Suitable for students in Grades 6-8.

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