Solve for w in terms of t, u, and v.
t=v–u+w

The given equation is:

\[
t = v - u + w
\]

To solve for \( w \) in terms of \( t \), \( u \), and \( v \), isolate \( w \) on one side of the equation. Follow these steps:

1. Subtract \( v - u \) from both sides to isolate \( w \):
   \[
   w = t - (v - u)
   \]

2. Simplify the right-hand side:
   \[
   w = t - v + u
   \]

Thus, the solution for \( w \) in terms of \( t \), \( u \), and \( v \) is:
\[
w = t - v + u
\]

Would you like more details on how the terms were manipulated or do you have any questions?

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Here are 5 related questions:
1. How would you solve for \( v \) in terms of \( t \), \( u \), and \( w \)?
2. Can you apply this equation to a real-world physics problem, such as velocity?
3. How do different types of equations affect the method of solving for variables?
4. How do we solve similar equations involving fractions or exponents?
5. What happens if the equation involves more than three variables?

**Tip:** Always check your solution by plugging the expression back into the original equation to verify.

Solve for w in terms of t, u, and v. t = v - u + w

Learn how to solve for w in the equation t = v - u + w with step-by-step guidance. This algebra problem focuses on rearranging a linear equation to isolate variables, perfect for students in Grades 7-9.

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