Question

10 = 3n + 20 - n

Explanation:

Step1: Combine like terms

Simplify the right - hand side of the equation \(10 = 3n+20 - n\). Combine the \(n\) terms: \(3n - n=2n\), so the equation becomes \(10 = 2n + 20\).

Step2: Subtract 20 from both sides

Subtract 20 from each side of the equation \(10=2n + 20\). We get \(10-20=2n+20 - 20\), which simplifies to \(- 10 = 2n\).

Step3: Divide by 2

Divide both sides of the equation \(-10 = 2n\) by 2. \(\frac{-10}{2}=\frac{2n}{2}\), so \(n=- 5\).

Answer:

\(n = - 5\)