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Solve for [tex]\( n \)[/tex].

[tex]\[ \frac{n-1}{7} = 4 \][/tex]


Sagot :

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].