8b. \( -24 g+20 h \)

Let's take a stroll down memory lane of algebraic expressions! The expression \( -24g + 20h \) is an example of a linear combination of variables \( g \) and \( h \). It highlights the beauty of combining like terms—though these terms aren't like terms in this case, as they have different variables. This combination can represent various real-world situations, such as money earned from two different jobs, where \( g \) might represent hours worked at one job and \( h \) at another. When simplifying or manipulating such expressions, keep an eye out for common mistakes! One common error is forgetting to distribute a negative sign correctly or failing to combine like terms effectively. Remember, in our expression, while you can’t combine \( -24g \) and \( 20h \) since they are unlike terms, you can always factor if needed—like taking out a common factor from each term to streamline the expression!