Question
Real Tutor Solution
Tutor-Verified Answer
Answer
\( n = -14 \)
Solution
Solve the equation \( 11n+23=6n-47 \).
Solve the equation by following steps:
- step0: Solve for \(n\):
\(11n+23=6n-47\)
- step1: Move the expression to the left side:
\(11n-6n=-47-23\)
- step2: Add and subtract:
\(5n=-47-23\)
- step3: Add and subtract:
\(5n=-70\)
- step4: Divide both sides:
\(\frac{5n}{5}=\frac{-70}{5}\)
- step5: Divide the numbers:
\(n=-14\)
The solution to the equation \(11n+23=6n-47\) is \(n=-14\).
Reviewed and approved by the UpStudy tutoring team
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Simplify this solution The Deep Dive
To solve the equation \( 11n + 23 = 6n - 47 \), we first want to get all terms involving \( n \) on one side and constant terms on the other. Start by subtracting \( 6n \) from both sides to get: \[ 11n - 6n + 23 = -47 \] This simplifies to: \[ 5n + 23 = -47 \] Next, subtract 23 from both sides: \[ 5n = -47 - 23 \] Which gives: \[ 5n = -70 \] Finally, divide both sides by 5: \[ n = -14 \] So the solution to the equation is \( n = -14 \). Fun fact: negative numbers have a fascinating history, once considered controversial in mathematics! Some ancient cultures didn’t recognize them at all!
