Ask a New Question
Menu

Question content area top

Part 1
Solve the equation.
8nminus​(5nplus7​)equals14

1 answer

To solve the equation \( 8n - (5n + 7) = 14 \), follow these steps:

  1. Distribute the negative sign on the left side: \[ 8n - 5n - 7 = 14 \]

  2. Combine like terms: \[ (8n - 5n) - 7 = 14 \] \[ 3n - 7 = 14 \]

  3. Add 7 to both sides to isolate the term with \( n \): \[ 3n - 7 + 7 = 14 + 7 \] \[ 3n = 21 \]

  4. Divide both sides by 3: \[ n = \frac{21}{3} \] \[ n = 7 \]

So, the solution to the equation is \( n = 7 \).