To solve the equation \(-7t - 8 = 10 + 2t\), follow these steps:

1. **Move all terms involving \(t\) to one side**:
   \[
   -7t - 2t = 10 + 8
   \]
   \[
   -9t = 18
   \]

2. **Solve for \(t\)** by dividing both sides by \(-9\):
   \[
   t = \frac{18}{-9}
   \]
   \[
   t = -2
   \]

So, the solution is \(t = -2\).

Would you like more details or have any questions? Here are some related questions:

1. How can you check the solution by substituting back into the original equation?
2. What happens if you isolate the constant terms first instead of the \(t\) terms?
3. Can you solve the equation using a different method, such as graphing?
4. How would you solve the equation if it were \(-7t - 8 = 10 - 2t\)?
5. What is the effect of changing the signs of all terms in the equation?

**Tip:** Always double-check your solution by substituting it back into the original equation to ensure it satisfies the equation.

Learn how to solve the linear equation -7t - 8 = 10 + 2t with a detailed step-by-step solution. This problem covers key algebraic concepts, including solving linear equations. Suitable for students in Grades 7-9.

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