The expression \( 2(3 + 5t) \) can be simplified by distributing the \( 2 \) across the terms inside the parentheses:

\[
2(3 + 5t) = 2 \times 3 + 2 \times 5t = 6 + 10t
\]

So, the simplified expression is:

\[
6 + 10t
\]

Would you like more details on how the distribution works?

Here are 5 related questions for further exploration:

1. How do you simplify expressions with multiple variables?
2. What happens if you need to solve for \( t \) in this expression?
3. How do you distribute a negative number across parentheses?
4. Can you solve more complex expressions like \( 2(3 + 5t) - 4t \)?
5. How would this expression change if it were an equation like \( 2(3 + 5t) = 14 \)?

**Tip:** Always follow the order of operations (PEMDAS) to avoid mistakes when simplifying expressions.

Learn how to simplify the algebraic expression 2(3 + 5t) by applying the distributive property. This step-by-step guide covers key algebra concepts and is suitable for students in Grades 6-8.

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