https://file.aiquickdraw.com/mathbot/file/1726013277533vuebsbk2.jpg

The equation in the image is:

\[
nt + 6 - xt = s
\]

We are tasked with solving this equation for \( t \). Let's go through the steps:

### Step 1: Combine like terms involving \( t \)
We have two terms involving \( t \): \( nt \) and \( -xt \). Combine them on one side of the equation:

\[
t(n - x) + 6 = s
\]

### Step 2: Isolate the \( t \)-term
Subtract 6 from both sides to isolate the \( t(n - x) \) term:

\[
t(n - x) = s - 6
\]

### Step 3: Solve for \( t \)
Now, divide both sides by \( (n - x) \) to solve for \( t \):

\[
t = \frac{s - 6}{n - x}
\]

So, the solution for \( t \) is:

\[
t = \frac{s - 6}{n - x}
\]

Would you like further clarification or details?

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Here are 5 related questions you might find helpful:

1. How would you solve if there was another constant term added to the equation?
2. What happens if \( n = x \)? How would the solution change?
3. Can you solve for \( s \) instead of \( t \)?
4. How would the equation change if there was a coefficient in front of \( s \)?
5. What if we were solving for \( n \) instead of \( t \)?

**Tip:** When solving for a variable, always check if that variable is multiplied by other terms so you can factor them out!

Learn how to solve the linear equation nt + 6 - xt = s for t with a step-by-step breakdown. This problem involves algebraic manipulation and variable isolation techniques, suitable for students in Grades 9-10.

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