-4 + v = 8
Understand the Problem
The question is asking to solve the equation for the variable v. This involves isolating v on one side of the equation to find its value.
Answer
$$ v = \frac{c - b}{a} $$
Answer for screen readers
The solution for ( v ) is given by:
$$ v = \frac{c - b}{a} $$
Steps to Solve
- Identify the equation
Assuming we have an equation of the form ( ax + b = c ), where we want to solve for ( v ). Let's rewrite our equation as required.
- Rearranging the equation
To isolate ( v ), we first subtract ( b ) from both sides of the equation:
$$ ax = c - b $$
- Solving for v
Now, we divide both sides by ( a ) to solve for ( v ):
$$ v = \frac{c - b}{a} $$
- Final result
Now you have expressed ( v ) in terms of ( a ), ( b ), and ( c ).
The solution for ( v ) is given by:
$$ v = \frac{c - b}{a} $$
More Information
This solution shows how to isolate a variable in a linear equation. Knowing how to rearrange equations is a fundamental skill in algebra that can be applied in various math problems.
Tips
- Forgetting to apply the same operation to both sides of the equation, which can lead to incorrect results. Always check each step to ensure that both sides of the equation remain equal.
- Miscalculating when performing operations, especially in subtraction or division. Take your time to avoid simple arithmetic errors.
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