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The solution is n = –2 verified as a solution to the equation 1.4n + 2 = 2n + 3.2. What is the last line of the justification?

User Ksiomelo
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2 Answers

2 votes
the last one is 1.4 that is justified
User LolaRun
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Answer:

The last line of the justification is 1.2 = 0.6n

Explanation:

Let's find an answer step by step so we can observe the last line of justification.

Let's start by the original equation:

1.4n + 2 = 2n + 3.2

By adding (-1.4n) and (-2) to both sides we obtain:

1.4n - 1.4n + 2 -2 = 2n - 1.4n + 3.2 - 2

which can be simplified as:

0 = 0.6n + 1.2

Adding (-1.2) to both sides we obtain:

0 - 1.2 = 0.6n + 1.2 - 1.2

which can be simplified as:

-1.2 = 0.6n, which is the last line of the justification.

Now by dividing in both sides by 0.6, we solve the equation:

-1.2/0.6 = 0.6n/0.6

which give us the solution: -2 = n.

User Msiyer
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