Solve the proportion. If necessary, round to the nearest hundredth.

 

4v+715=6v+210
    

 

v=
  

Let's solve the equation step by step:

We are given:

\[
4v + 715 = 6v + 210
\]

### Step 1: Move all terms involving \(v\) to one side
We subtract \(4v\) from both sides:

\[
715 = 6v - 4v + 210
\]

\[
715 = 2v + 210
\]

### Step 2: Isolate the term with \(v\)
Subtract 210 from both sides:

\[
715 - 210 = 2v
\]

\[
505 = 2v
\]

### Step 3: Solve for \(v\)
Now, divide both sides by 2:

\[
v = \frac{505}{2}
\]

\[
v = 252.5
\]

Thus, the solution is \(v = 252.5\).

Would you like any further details or explanations?

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Here are 5 related questions:
1. What is the general method to solve linear equations involving a variable?
2. How do you solve proportions that involve fractions instead of whole numbers?
3. What are the steps to check if your solution to an equation is correct?
4. How do you approach equations with variables on both sides?
5. Can proportions involve negative numbers, and how do they affect the solution?

**Tip:** Always verify your solution by substituting it back into the original equation to ensure both sides are equal!

Solve the proportion. If necessary, round to the nearest hundredth. 4v + 715 = 6v + 210

Learn how to solve the linear equation 4v + 715 = 6v + 210 with a detailed step-by-step solution. This problem focuses on algebraic concepts like isolating variables and solving for unknowns, ideal for Grade 7 students.

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