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7) \\(\\frac{n - 31}{4} = 2\\)

Question

  1. \\(\frac{n - 31}{4} = 2\\)

Explanation:

Step1: Multiply both sides by 4

To eliminate the denominator, we multiply both sides of the equation $\frac{n - 31}{4}=2$ by 4. This gives us $4\times\frac{n - 31}{4}=2\times4$. Simplifying both sides, we get $n - 31 = 8$.

Step2: Add 31 to both sides

To solve for $n$, we add 31 to both sides of the equation $n - 31 = 8$. So, $n-31 + 31=8 + 31$. Simplifying, we find that $n = 39$.

Answer:

$n = 39$