To find the value of [tex]\( n \)[/tex] that makes the equation
[tex]\[ -\frac{1}{2} n = -8 \][/tex]
true, we need to isolate [tex]\( n \)[/tex]. Here is a detailed, step-by-step solution:
1. The given equation is:
[tex]\[ -\frac{1}{2} n = -8 \][/tex]
2. To isolate [tex]\( n \)[/tex], we need to eliminate the fraction. A good approach is to multiply both sides of the equation by the reciprocal of [tex]\(-\frac{1}{2}\)[/tex], which is [tex]\(-2\)[/tex].
3. Multiply both sides by [tex]\(-2\)[/tex]:
[tex]\[ -2 \left( -\frac{1}{2} n \right) = -8 \times -2 \][/tex]
4. On the left side, [tex]\(-2 \times -\frac{1}{2}\)[/tex] simplifies to 1, so we are left with:
[tex]\[ n = 16 \][/tex]
Thus, the value of [tex]\( n \)[/tex] that makes the equation true is:
[tex]\[ n = 16 \][/tex]
So, the correct answer is:
[tex]\[ \boxed{16} \][/tex]
