To solve the equation [tex]\( n - 12 = -9 \)[/tex], follow these steps:
1. Understand the Goal: We need to isolate [tex]\( n \)[/tex] on one side of the equation.
2. Add 12 to Both Sides: Since [tex]\( n - 12 \)[/tex] involves subtracting 12, we counter this by adding 12 to both sides of the equation. This step helps to isolate [tex]\( n \)[/tex] on one side:
[tex]\[
n - 12 + 12 = -9 + 12
\][/tex]
3. Simplify Both Sides:
- On the left side, [tex]\( -12 + 12 \)[/tex] cancels out, leaving us with [tex]\( n \)[/tex].
- On the right side, [tex]\( -9 + 12 \)[/tex] simplifies to 3.
Therefore:
[tex]\[
n = 3
\][/tex]
Hence, the value of [tex]\( n \)[/tex] is 3.
Answer: B. [tex]\( n = 3 \)[/tex]