Question

solve the following equation in your notebook, use your notes from the previous problem to help you 9n - 6 = 5n + 18 n = ___? (only type the number)

Explanation:

Step1: Subtract \(5n\) from both sides

To isolate the variable terms on one side, we subtract \(5n\) from both sides of the equation \(9n - 6 = 5n + 18\). This gives us \(9n - 5n - 6 = 5n - 5n + 18\), which simplifies to \(4n - 6 = 18\).

Step2: Add 6 to both sides

Next, we add 6 to both sides to isolate the term with the variable. So, \(4n - 6 + 6 = 18 + 6\), which simplifies to \(4n = 24\).

Step3: Divide by 4

Finally, we divide both sides by 4 to solve for \(n\). That is, \(\frac{4n}{4}=\frac{24}{4}\), which gives \(n = 6\).

Answer:

6