Sure! Let's break down the steps:
### Step 1: Translate the sentence into an algebraic equation
The sentence is "Twelve less than [tex]\( n \)[/tex] is -10."
"Twelve less than [tex]\( n \)[/tex]" means [tex]\( n - 12 \)[/tex].
So, the equation becomes:
[tex]\[ n - 12 = -10 \][/tex]
### Step 2: Solve the translated sentence
We have the equation:
[tex]\[ n - 12 = -10 \][/tex]
To solve for [tex]\( n \)[/tex], we need to isolate [tex]\( n \)[/tex] on one side of the equation. We can do this by adding 12 to both sides of the equation:
[tex]\[ n - 12 + 12 = -10 + 12 \][/tex]
Simplifying the equation:
[tex]\[ n = 2 \][/tex]
So, the value of [tex]\( n \)[/tex] is:
[tex]\[ n = 2 \][/tex]
