The function you've provided is:

\[
h(t) = -0.5 + 6t - 10
\]

To simplify it, you can combine the constant terms:

\[
h(t) = 6t - 10.5
\]

This is the simplified version of the function. 

Would you like any further details or a breakdown of the steps?

Here are 5 related questions to consider:
1. How would you evaluate \( h(t) \) for specific values of \( t \)?
2. What is the slope of the linear function \( h(t) \)?
3. How would you graph the function \( h(t) = 6t - 10.5 \)?
4. What is the y-intercept of the function \( h(t) \)?
5. How would you find the value of \( t \) when \( h(t) = 0 \)?

**Tip:** When simplifying linear functions, always combine like terms (constant terms and terms with \( t \)) to make it more manageable!

Learn how to simplify the linear function h(t) = -0.5 + 6t - 10 by combining like terms. This step-by-step solution explains key algebraic concepts and helps students understand the properties of linear equations. Suitable for Grades 6-8.

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