Question

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

Answer 1

Answer:

D. n=3

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

$n \: = \frac{ - 24}{ - 8}$

n = 3

Answer 2

$\huge\text{Hey there!}$

$\huge\textbf{Equation:}$

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

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

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

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

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

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

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

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

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

$\huge\textbf{Simplify it:}$

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

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

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

$\mathbf{\dfrac{-8n}{-8} = \dfrac{-24}{-8}}$

$\huge\textbf{Simplify it:}$

$\mathbf{n = \dfrac{-24}{-8}}$

$\mathbf{n = -24 \div -8}$

$\mathbf{n = 3}$

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

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

$\huge\text{Good luck on your assignment \& enjoy your day!}$

~$\frak{Amphitrite1040:)}$