To solve the equation [tex]\(\frac{n-1}{7}=4\)[/tex], follow these steps:
1. Isolate the term involving [tex]\(n\)[/tex]: Start by eliminating the fraction. To do this, multiply both sides of the equation by 7.
[tex]\[
\frac{n-1}{7} \times 7 = 4 \times 7
\][/tex]
Simplifying both sides, we get:
[tex]\[
n - 1 = 28
\][/tex]
2. Solve for [tex]\(n\)[/tex]: To find [tex]\(n\)[/tex], we need to isolate [tex]\(n\)[/tex]. Add 1 to both sides of the equation.
[tex]\[
n - 1 + 1 = 28 + 1
\][/tex]
Simplifying, we obtain:
[tex]\[
n = 29
\][/tex]
So, the value of [tex]\(n\)[/tex] is [tex]\(\boxed{29}\)[/tex].
