3(n + 3) = -4n + 30

Answer 1

To solve the equation \(3(n + 3) = -4n + 30\), follow these steps:

1. Distribute the 3 on the left side:

   \[ 3n + 9 = -4n + 30 \]

2. Next, combine like terms. Add \(4n\) to both sides to get all the \(n\) terms on one side:

   \[ 3n + 4n + 9 = 30 \]

   This simplifies to:

   \[ 7n + 9 = 30 \]

3. Now, subtract 9 from both sides to isolate the term with \(n\):

   \[ 7n = 30 - 9 \]

   Which simplifies to:

   \[ 7n = 21 \]

4. Finally, divide by 7 to solve for \(n\):

   [ n = \frac{