Pregunta
7) \( \frac{n-31}{4}=2 \)
Ask by Hanson Mcdonald. in the United States
Feb 03,2025
Solución de tutoría real
Respuesta verificada por el tutor
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\( n = 39 \)
Solución
To solve the equation:
\[
\frac{n - 31}{4} = 2
\]
**Step 1: Eliminate the Fraction**
Multiply both sides of the equation by 4 to remove the denominator:
\[
4 \times \frac{n - 31}{4} = 2 \times 4
\]
This simplifies to:
\[
n - 31 = 8
\]
**Step 2: Isolate the Variable \( n \)**
Add 31 to both sides of the equation to solve for \( n \):
\[
n - 31 + 31 = 8 + 31
\]
\[
n = 39
\]
**Solution:**
\[
n = 39
\]
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Beyond the Answer
To solve the equation \( \frac{n-31}{4}=2 \), start by eliminating the fraction by multiplying both sides by 4: \( n - 31 = 8 \). Now, simply add 31 to both sides: \( n = 39 \). Voila! You've found the solution: \( n = 39 \). Now, let’s take a moment to appreciate the beauty of algebra. It’s like a dance where every step counts! The equation follows a clear path: isolate the variable and reveal the hidden treasures of numbers. You can think of algebra as a mysterious puzzle—couldn't be more thrilling when you unveil the answer!
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