https://file.aiquickdraw.com/mathbot/file/1728877222194uhmvmxwf.jpg

Let's solve the given equation step by step based on the image.

The equation provided is:

\[
-3(-5v - 6) - 13v = 6
\]

### Step 1: Distribute \(-3\) across \((-5v - 6)\).
This gives us:
\[
(-3)(-5v) + (-3)(-6) = 15v + 18
\]
Thus, the equation becomes:
\[
15v + 18 - 13v = 6
\]

So, the first blank is:
\[
15v + 18 - 13v = 6
\]

### Step 2: Combine like terms \(15v - 13v\).
This results in:
\[
2v + 18 = 6
\]

### Step 3: Subtract 18 from both sides to isolate the term with \(v\):
\[
2v = 6 - 18
\]
\[
2v = -12
\]

### Step 4: Divide both sides by 2 to solve for \(v\):
\[
v = \frac{-12}{2} = -6
\]

Therefore, the missing blanks are:
1. \(15v + 18 - 13v = 6\)
2. \(2v + 18 = 6\)
3. \(v = -6\)

Let me know if you need further clarification or more details!

### Related questions:
1. What is the general rule for distributing a negative number across a bracket?
2. How do we combine like terms in an algebraic equation?
3. How does subtracting a number from both sides affect an equation?
4. What are the steps for solving linear equations with variables on both sides?
5. How do we handle fractions when dividing both sides of an equation?

**Tip:** Always remember to perform the same operation on both sides of an equation to maintain its balance.

Complete the process of solving the equation: -3(-5v - 6) - 13v = 6

Learn how to solve the linear equation -3(-5v - 6) - 13v = 6. This step-by-step solution uses the distributive property and like term combination, suitable for students in Grades 7-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation