Sure! Let's break down the solution step-by-step for the given expression [tex]\(3n + 7\)[/tex] with [tex]\(n = 12\)[/tex].
1. Understanding the expression: The expression we are asked to evaluate is [tex]\(3n + 7\)[/tex]. This involves multiplying [tex]\(n\)[/tex] by 3 and then adding 7 to the result.
2. Substitution: We are told that [tex]\(n = 12\)[/tex]. So, we substitute 12 for [tex]\(n\)[/tex] in the expression:
[tex]\[
3(12) + 7
\][/tex]
3. Multiplication: Next, we need to perform the multiplication:
[tex]\[
3 \times 12 = 36
\][/tex]
4. Addition: Finally, we add 7 to the result of the multiplication:
[tex]\[
36 + 7 = 43
\][/tex]
So the value of the expression [tex]\(3n + 7\)[/tex] when [tex]\(n = 12\)[/tex] is:
[tex]\[
\boxed{43}
\][/tex]
