Solve for w. 7 + w = 6
Understand the Problem
The question is asking to solve the equation 7 + w = 6 for the variable w. This involves isolating w on one side of the equation.
Answer
The solution for \( w \) is $$ w = -1 $$
Answer for screen readers
The value of ( w ) is
$$ w = -1 $$
Steps to Solve
- Isolate w on one side
To isolate ( w ), we need to get rid of the 7 on the left side of the equation. We can do this by subtracting 7 from both sides.
$$ 7 + w - 7 = 6 - 7 $$
- Simplify the equation
Now, we simplify both sides of the equation.
$$ w = 6 - 7 $$
- Calculate the final value of w
Now, we compute the right side:
$$ w = -1 $$
The value of ( w ) is
$$ w = -1 $$
More Information
The equation represents a simple linear relationship. By isolating the variable, we find that ( w ) must equal -1 to satisfy the equation. This process of balancing both sides of the equation is fundamental in algebra.
Tips
- Forgetting to subtract from both sides: Ensure any operation done on one side is done on the other side equally.
- Not simplifying properly: Always double-check your calculations to avoid errors in the final answer.
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