Solve for w: 3w + 11 = 35. Simplify your answer as much as possible.
Understand the Problem
The question is asking us to solve the equation 3w + 11 = 35 for the variable w and to simplify our answer as much as possible.
Answer
The value of $w$ is $8$.
Answer for screen readers
The final answer is:
$$ w = 8 $$
Steps to Solve
- Subtract 11 from both sides
To isolate the term with $w$, we first subtract 11 from both sides of the equation:
$$ 3w + 11 - 11 = 35 - 11 $$
This simplifies to:
$$ 3w = 24 $$
- Divide both sides by 3
Next, we divide both sides of the equation by 3 to solve for $w$:
$$ \frac{3w}{3} = \frac{24}{3} $$
This gives us:
$$ w = 8 $$
The final answer is:
$$ w = 8 $$
More Information
The solution indicates that $w$ is 8, meaning that when you substitute 8 back into the original equation, both sides will be equal. The process involved basic algebraic operations, demonstrating an effective method to isolate the variable.
Tips
- Not performing the same operation on both sides: Always remember to perform the same mathematical operation on both sides of the equation to maintain equality.
- Misplacing signs: Be careful with positive and negative signs when subtracting or adding.
AI-generated content may contain errors. Please verify critical information
