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Solve for [tex]w[/tex].



[tex]181 = 23 - w[/tex]



[tex]w =[/tex]

Answer :

- Subtract 23 from both sides of the equation: $181 - 23 = -w$.
- Simplify the equation: $158 = -w$.
- Multiply both sides by -1: $-158 = w$.
- The solution is: $\boxed{{-158}}$.

### Explanation
1. Understanding the Problem
We are given the equation $181 = 23 - w$. Our goal is to isolate $w$ on one side of the equation to solve for its value.

2. Isolating -w
To isolate $w$, we can subtract 23 from both sides of the equation: $$181 - 23 = 23 - w - 23$$ This simplifies to: $$158 = -w$$

3. Solving for w
Now, to solve for $w$, we multiply both sides of the equation by -1: $$-1 Imes 158 = -1 Imes -w$$ This gives us: $$-158 = w$$

4. Final Answer
Therefore, the solution for $w$ is -158.

### Examples
Understanding how to solve for a variable in an equation is a fundamental skill in algebra and is used in many real-world applications. For example, if you are trying to determine how much money you need to save each month to reach a specific savings goal, you can set up an equation and solve for the monthly savings amount. Similarly, in physics, you might use equations to solve for unknown quantities such as velocity or acceleration. These skills are essential for problem-solving in various fields.

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