To solve the equation [tex]\(8n + 7 = 31\)[/tex], follow these steps:
1. Isolate the term with the variable [tex]\(n\)[/tex]:
[tex]\[
8n + 7 = 31
\][/tex]
Subtract 7 from both sides of the equation to remove the constant term on the left side:
[tex]\[
8n + 7 - 7 = 31 - 7
\][/tex]
Simplify this to:
[tex]\[
8n = 24
\][/tex]
2. Solve for [tex]\(n\)[/tex]:
Divide both sides of the equation by 8 to isolate [tex]\(n\)[/tex]:
[tex]\[
\frac{8n}{8} = \frac{24}{8}
\][/tex]
Simplify this to:
[tex]\[
n = 3
\][/tex]
So, the solution to the equation [tex]\(8n + 7 = 31\)[/tex] is [tex]\(n = 3\)[/tex].
Among the given options:
- [tex]\(n = 6\)[/tex]
- [tex]\(n = 5\)[/tex]
- [tex]\(n = 3\)[/tex]
- [tex]\(n = 7\)[/tex]
The correct answer is:
[tex]\[
n = 3
\][/tex]
