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To find an equivalent expression for \( 3t + 5(8v + 3t) \), we'll simplify the expression step by step.
1. **Distribute the 5**:
\[
3t + 5(8v) + 5(3t) = 3t + 40v + 15t
\]
2. **Combine like terms**:
\[
3t + 15t + 40v = (3t + 15t) + 40v = 18t + 40v
\]
Now, the simplified expression is:
\[
18t + 40v
\]
Looking at the multiple choice answers, this corresponds to:
**18, t, plus, 40, v (18t + 40v)**.
So, the correct answer is:
**18t + 40v**.