Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

solve for n. 4n + 4n - 3n - 5n + 2n = 6 n = submit

Question

solve for n.
4n + 4n - 3n - 5n + 2n = 6
n =
submit

Explanation:

Step1: Combine like terms

First, we combine the terms with \( n \) on the left side. The left side is \( 4n + 4n - 3n - 5n + 2n \). Let's add the coefficients: \( 4 + 4 - 3 - 5 + 2 \). Calculating that: \( (4 + 4) + (-3 - 5) + 2 = 8 - 8 + 2 = 2 \). So the equation becomes \( 2n = 6 \).

Step2: Solve for \( n \)

To solve for \( n \), we divide both sides of the equation \( 2n = 6 \) by 2. So \( n=\frac{6}{2}=3 \).

Answer:

\( n = 3 \)