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4. clara was solving the equation $4n + 2 - 3(2 - n) = 31$ the work for…

Question

  1. clara was solving the equation $4n + 2 - 3(2 - n) = 31$ the work for which is shown below.

drag and drop the phrases to justify the steps in claras work.
combining like terms
associative property
division property

stepsjustification
1. $4n + 2 - 6 + 3n = 31$1. distributive property
2. $7n - 4 = 31$2.
3. $7n = 35$3. addition property
4. $n = 5$4.

Explanation:

Step1: Identify step 2's justification

From $4n + 2 - 6 + 3n = 31$ to $7n - 4 = 31$, we group and simplify like terms.

Step2: Identify step 4's justification

From $7n = 35$ to $n = 5$, we divide both sides by 7.

Answer:

  1. Combining like terms
  2. Division property