Question

In which step below does a mistake first appear in the solution to the equation:n +8 (n +20)= 110 + 4n Step 1: n+8n+20=110+4nStep 2: 9n+20=110+4nStep 3: 9n-4n=110-20Step 4: 5n=90Step 5: 5n5=905Step 6: n=18

Answer 1

n +8 (n +20)= 110 + 4n

Step 1: n+8n+20=110+4n

Step 2: 9n+20=110+4n

Step 3: 9n-4n=110-20

Step 4: 5n=90

Step 5: 5n5=905

Step 6: n=18

Answer

Step 1

use distributive property, eliminate the parenthesis

`\begin{gathered} n+8(n+20)=110+4n \\ n+8n+160=110+4n \end{gathered}`

so, the first mistake is in step 1, because

`\begin{gathered} n+8n+160\\e n+8n+20 \\ \end{gathered}`