Let's solve the equation step by step:

\[
-9 - (18v - 5) = 2(7v - 16) - 3v
\]

### Step 1: Distribute on both sides

First, distribute the negative sign on the left-hand side and the 2 on the right-hand side:

\[
-9 - 18v + 5 = 14v - 32 - 3v
\]

### Step 2: Combine like terms

On the left-hand side, combine \(-9\) and \(+5\):

\[
-18v - 4 = 14v - 3v - 32
\]

On the right-hand side, combine \(14v - 3v\):

\[
-18v - 4 = 11v - 32
\]

### Step 3: Move all the \(v\)-terms to one side

To move all the \(v\)-terms to one side, add \(18v\) to both sides:

\[
-4 = 29v - 32
\]

### Step 4: Move the constant terms to the other side

Add 32 to both sides to move the constant to the left:

\[
28 = 29v
\]

### Step 5: Solve for \(v\)

Now, divide both sides by 29 to solve for \(v\):

\[
v = \frac{28}{29}
\]

So, the solution is:

\[
v = \frac{28}{29}
\]

Would you like further details on any step?

### 5 Related Questions:
1. How do you handle more complex distributions in equations?
2. Can we solve this type of equation graphically?
3. What is the method for checking solutions in equations?
4. How do we handle equations with multiple variables?
5. What are some common mistakes when solving linear equations?

### Tip:
Always simplify and combine like terms as early as possible to reduce the complexity of the equation.

Learn how to solve the linear equation -9 - (18v - 5) = 2(7v - 16) - 3v with a detailed step-by-step explanation. This problem covers essential algebraic concepts such as the distributive property and properties of equality. Suitable for students in Grades 8-10.

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