Question

solving the equation, james realized that he made an error. which step was the error and what is the correct answer?-4(10n - 6) = -406-40n - 6 = -406 STEP 1 -40n - 6 + 6 = -406 + 6 STEP 2-40n = -400 STEP 3-40 n/ -40= 400/ -40 STEP 4n=10 STEP 5

Answer 1

`-4(10n-6)=-406`

1. You remove the parenthesis, the term outside the parenthesis affect each term in the parenthesis (you multiply -4 for each term in the parenthesis):

`\begin{gathered} -4(10n)-4(-6)=-406 \\ -40n+24=-406 \end{gathered}`

The mistake was in the step 1 as the -4 was not multiplied for both terms in the parenthesis.

2. Substract 24 in both sides of the equation:

`\begin{gathered} -40n+24-24=-406-24 \\ -40n=-430 \end{gathered}`

3. Divide into -40 both sides of the equation:

`\begin{gathered} (-40n)/(-40)=(-430)/(-40) \\ \\ n=(430)/(40) \end{gathered}`

4. Simplify:

`n=(430)/(40)=(43)/(4)=10.75`Then, the answer is n=10.75