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instructions choose the best answer. if necessary, use the paper you we…

Question

instructions
choose the best answer. if necessary, use the paper you were given.

question
which expression is equivalent to \\(4\left(n - 3^2\
ight) + n\\)?

\\(3n - 6\\)
\\(3n - 9\\)
\\(5n - 36\\)
\\(5n - 144\\)

Explanation:

Evaluate the exponent inside the parentheses

$$ 3^2 = 9 $$
$$ 4(n - 3^2) + n = 4(n - 9) + n $$

Apply the distributive property

$$ 4(n - 9) + n = 4n - 36 + n $$

Combine like terms

$$ 4n + n - 36 = 5n - 36 $$

Answer:

  • \(3n - 6\)
  • \(3n - 9\)
  • \(5n - 36\) (Correct answer)
  • \(5n - 144\)