Question
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Answer
\( n = -20 \)
Solution
Solve the equation \( 0=4+\frac{n}{5} \).
Solve the equation by following steps:
- step0: Solve for \(n\):
\(0=4+\frac{n}{5}\)
- step1: Swap the sides:
\(4+\frac{n}{5}=0\)
- step2: Move the constant to the right side:
\(\frac{n}{5}=0-4\)
- step3: Remove 0:
\(\frac{n}{5}=-4\)
- step4: Cross multiply:
\(n=5\left(-4\right)\)
- step5: Simplify the equation:
\(n=-20\)
The solution to the equation \(0=4+\frac{n}{5}\) is \(n=-20\).
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Simplify this solution Extra Insights
To solve the equation \( 0=4+\frac{n}{5} \), you can start by isolating \( n \). Subtract 4 from both sides to get \( -4 = \frac{n}{5} \). Next, multiply both sides by 5 to eliminate the fraction, resulting in \( n = -20 \). Voilà! You've found that \( n \) equals -20. Keep in mind that the way you manipulate the equation mirrors a vital skill in mathematics: moving terms around while maintaining balance. It's like a seesaw—you can shift things as long as you do it evenly on both sides! Just be careful with signs—these little details can turn '-20' into '20' if overlooked!
