To solve the equation \( a = -16 + (n-1)x - 3 \), we can simplify and rearrange terms. Let's start by simplifying the right-hand side of the equation:

\[
a = -16 + (n-1)x - 3
\]

1. Combine like terms (the constants \(-16\) and \(-3\)):

\[
a = (n-1)x - 19
\]

So the simplified form of the equation is:

\[
a = (n-1)x - 19
\]

This is now a linear equation in terms of \( x \), with \( a \) as the dependent variable, and \( n \) as a parameter. To solve for \( x \), you'd need the values of \( a \) and \( n \), or you can express \( x \) in terms of the other variables:

\[
x = \frac{a + 19}{n-1}
\]

Do you want to explore solving this equation for a specific variable, or is there more context you'd like to provide?

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Here are 5 follow-up questions you might consider:
1. Would you like to solve for \( x \), \( n \), or \( a \) with specific values?
2. Are there any restrictions on the values of \( n \) or \( x \)?
3. Should the equation be graphed for different values of \( n \) and \( a \)?
4. Would you like help solving a similar linear equation?
5. Are there additional terms or conditions involved in this equation?

**Tip**: Always combine like terms early to simplify the equation and make it easier to solve!

Discover how to simplify and solve the linear equation a = -16 + (n-1)x - 3. This step-by-step guide explains the process of combining like terms and rearranging variables to find x in terms of a and n. Ideal for students in Grades 8-10.

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