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Which expression is equivalent to the expression below?

3, t, plus, 5, left parenthesis, 8, v, plus, 3, t, right parenthesis
3t+5(8v+3t)
Answer
Multiple Choice Answers
37, t, plus, 3, v37t+3v
18, t, plus, 40, v18t+40v
10, t, plus, 8, v10t+8v
3, left parenthesis, t, plus, 40, v, plus, 15, t, right parenthesis3(t+40v+15t)

1 answer

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.