Question
Solve for \( n \) \( 41 n+23 n-33 n=31 \) \( n=\square \)
Ask by Beck Page. in the United States
Jan 10,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( n = 1 \)
Solution
To solve for \( n \) in the equation:
\[
41n + 23n - 33n = 31
\]
**Step 1: Combine like terms.**
\[
(41n + 23n - 33n) = (41 + 23 - 33)n = 31n
\]
So, the equation simplifies to:
\[
31n = 31
\]
**Step 2: Solve for \( n \).**
\[
n = \frac{31}{31} = 1
\]
**Answer:**
\( n = 1 \)
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Simplify this solution The Deep Dive
To solve for \( n \) in the equation \( 41 n + 23 n - 33 n = 31 \), we first combine like terms on the left side: \[ (41 + 23 - 33)n = 31 \] Calculating the coefficients: \[ 41 + 23 = 64 \] \[ 64 - 33 = 31 \] So our equation simplifies to: \[ 31n = 31 \] Now, divide both sides by 31: \[ n = 1 \] Thus, \( n = 1 \).
