Sense or Nonsense Peter and Jade are using what they know about properties to write an expression equivalent to \(2\times(\text{n} + 6) + 3\). Whose answer makes sense? Whose answer is nonsense? Explain your reasoning.

Peter's Work

Expression : \(2\times(\text{n} + 6) + 3\)

Associative Property of Addition : \(2\times\text{n} + (6 + 3)\)

Add within parentheses : \(2\times\text{n} + 9\)

Multiply : \(2\text{n} + 9\)

Jade's Work

Expression : \(2\times(\text{n} + 6) + 3\)

Distributive Property : \((2\times\text{n}) + (2\times6) + 3\)

Multiply within parentheses : \(2\text{n} + 12 + 3\)

Associative Property of Addition : \(2\text{n} + (12 + 3)\)

Add within parentheses : \(2\text{n} + 15\)

For the answer that is nonsense, correct the statement.

Write the algebraic expression in the box that shows an equivalent expression.