Answer:
n = -4
Step-by-step explanation:
[tex]2-\frac{1}{2} n=3n+16[/tex]
We want to solve for n, so let's get n on one side of the equation.
Add [tex]\frac{1}{2} n[/tex] to both sides.
2 = 3.5n + 16
Subtract 16 from both sides.
-14 = 3.5n
Divide both sides by 3.5
-4 = n
Check your answer by plugging n back into the original equation.
[tex]2-\frac{1}{2} n=3n+16[/tex]
[tex]2-\frac{1}{2} (-4)=3(-4)+16[/tex]
Multiply.
2 + 2 = -12 + 16
Add.
4 = 4
Your answer is correct.
Hope this helps!