Question

4. Solve: 8−2n−6n=−16
A. n=11
B. n=9
C. n=10
D. n=3

Answer 1

D. n=3

Step-by-step Step-by-step explanation:

8-2n-6n= –16

Take 8 to the other side

-2n-6n= -16-8

Solve them

-8n = -24

Take -8 to the other side

`n \: = ( - 24)/( - 8)`

n = 3

Answer 2

`\huge\text{Hey there!}`

`\huge\textbf{Equation:}`

`\mathbf{8 - 2n - 6n = -16}`

`\huge\textbf{Solving for the answer:}`

`\mathbf{8 - 2n - 6n = -16}`

`\huge\textbf{Combine the like terms:}`

`\mathbf{(-2n - 6n) + 8 = -16}`

`\mathbf{-2n - 6n + 8 = -16}`

`\mathbf{-8n + 8 = -16}`

`\huge\textbf{Subtract \boxed{\bf 8} to both sides:}`

`\mathbf{-8n + 8 - 8 = -16 - 8}`

`\huge\textbf{Simplify it:}`

`\mathbf{-8n = -16 - 8}`

`\mathbf{-8n = -24}`

`\huge\textbf{Divide \boxed{\bf -8} to both sides:}`

`\mathbf{(-8n)/(-8) = (-24)/(-8)}`

`\huge\textbf{Simplify it:}`

`\mathbf{n = (-24)/(-8)}`

`\mathbf{n = -24 / -8}`

`\mathbf{n = 3}`

`\huge\textbf{Therefore, your answer should be:}`

`\huge\boxed{\textsf{Option D. \boxed{\frak{n = 3}}}}\huge\checkmark`

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