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

To solve for \( t \) in terms of \( u \), \( v \), and \( w \) in the equation:

\[
v = u + t - w
\]

Follow these steps:

1. **Isolate \( t \)**: Add \( w \) to both sides of the equation to eliminate the \( -w \) on the right side.

\[
v + w = u + t
\]

2. **Subtract \( u \) from both sides**: To isolate \( t \), subtract \( u \) from both sides.

\[
v + w - u = t
\]

So the solution for \( t \) in terms of \( u \), \( v \), and \( w \) is:

\[
t = v + w - u
\]

Would you like a detailed explanation of this process or have any questions?

Here are five related questions you might find helpful:
1. How would the solution change if the equation was \( v = u - t + w \)?
2. Can you solve for \( u \) in terms of \( t \), \( v \), and \( w \)?
3. What happens to the value of \( t \) if \( u = v \)?
4. How would you solve for \( t \) if \( w \) were equal to zero?
5. What is the significance of each variable in a real-world context?

**Tip:** When solving for a variable, always aim to isolate the variable on one side of the equation to simplify the process.

Learn how to solve the equation v = u + t - w for t in terms of u, v, and w with a detailed step-by-step solution. This problem covers key algebraic concepts, including linear equations and isolating variables. Suitable for students in Grades 7-9.

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