Questions: The sum of three times n and 6 is 15.

The sum of three times n and 6 is 15.
Transcript text: The sum of three times $n$ and 6 is 15.
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Solution

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Solution Steps

Solution Approach
  1. Identify the key components of the English statement: "the sum of three times $n$ and 6 is 15."
  2. Translate the components into mathematical terms:
    • "three times $n$" translates to \(3n\)
    • "the sum of three times $n$ and 6" translates to \(3n + 6\)
    • "is 15" translates to \(= 15\)
  3. Combine these components to form the equation.
Step 1: Identify the Equation

The English statement "the sum of three times \( n \) and 6 is 15" can be translated into a mathematical equation. We express "three times \( n \)" as \( 3n \) and the entire sum as \( 3n + 6 \). Therefore, the equation can be written as: \[ 3n + 6 = 15 \]

Step 2: Write the Complete Equation

Combining the components identified, we have the complete equation: \[ 3n + 6 = 15 \]

Final Answer

The equation that represents the given statement is: \[ \boxed{3n + 6 = 15} \]

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