The given equation is:

\[
s = nx + 6 - tx
\]

To work with this equation, let's rewrite it in a simplified form by grouping the like terms:

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

### Explanation:
- Combine the terms involving \(x\) (i.e., \(nx - tx = (n - t)x\)).
- The equation now becomes: \(s = (n - t)x + 6\).

This equation expresses \(s\) in terms of \(x\), \(n\), and \(t\), and shows a linear relationship between \(s\) and \(x\).

Would you like further details on solving for any specific variable?

Here are 5 related questions you might want to explore:
1. How do we solve for \(x\) in this equation?
2. What happens if \(n = t\) in this equation?
3. How does the graph of this equation look?
4. Can we rewrite this equation in terms of \(x\) only?
5. How can we interpret the constants \(n\) and \(t\) geometrically?

**Tip**: When combining like terms, always group terms with the same variable to simplify the expression.

Explore how to simplify and solve the linear equation s = nx + 6 - tx by combining like terms. This problem covers key algebraic concepts and is ideal for students in Grades 8-10. Understand how to manipulate the equation and explore related questions about solving for variables and interpreting constants.

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