Ask a New Question
Menu

solve the equation 3(n + 3) = -4n + 30

what is the value of N

1 answer

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, add \(4n\) to both sides to combine the \(n\) terms:

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

    Simplifying this gives:

    \[ 7n + 9 = 30 \]

  3. Now, subtract 9 from both sides:

    \[ 7n = 30 - 9 \]

    Which simplifies to:

    \[ 7n = 21 \]

  4. Finally, divide both sides by 7:

    \[ n = \frac{21}{7} \]

    Thus:

    \[ n = 3 \]

Therefore, the value of \(n\) is \(3\).