Question

1. 13n + 26 = 8n - 29

Explanation:

Step1: Subtract \(8n\) from both sides

To get all the \(n\) terms on one side, we subtract \(8n\) from both sides of the equation \(13n + 26 = 8n - 29\). This gives us \((13n - 8n)+ 26=(8n - 8n)- 29\), which simplifies to \(5n + 26=-29\).

Step2: Subtract 26 from both sides

Next, we want to isolate the term with \(n\), so we subtract 26 from both sides. Doing this, we have \(5n+26 - 26=-29 - 26\), which simplifies to \(5n=-55\).

Step3: Divide both sides by 5

To solve for \(n\), we divide both sides of the equation \(5n = - 55\) by 5. So, \(\frac{5n}{5}=\frac{-55}{5}\), which gives \(n = - 11\).

Answer:

\(n=-11\)