Question

A.) 40 - 8 = 40 + n what is n25+ (-100) = 25 – n what is n

Answer 1

`\begin{gathered} a)n=-8 \\ b)n=100 \end{gathered}`

Step-by-step explanation

Step 1

a)

`40-8=40+n`

add like terms

`\begin{gathered} 40-8=40+n \\ 32=40+n \end{gathered}`

now, subtract 40 in both sides to isolate n

`\begin{gathered} 32=40+n \\ 32-40=40+n-40 \\ -8=n \\ n=-8 \end{gathered}`

Step 2

b)

`\begin{gathered} 25+(-100)=25-n \\ break\text{ the parenthesis by multipling +}\cdot-100 \\ 25+(-100)=25-n \\ 25-100=25-n \\ \text{add like terms} \\ -75=25-n \\ \text{subtract 25 in both sides} \\ -75-25=25-n-25 \\ -100=-n \\ \text{Multiply both sides by -1} \\ -100\cdot-1=-n\cdot-1 \\ 100=n \\ n=100 \end{gathered}`

I hope this helps you