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Solve the equation.

8nminus​(6nplus5​)equals9

1 answer

To solve the equation \( 8n - (6n + 5) = 9 \), we can start by simplifying the left side.

  1. Distribute the negative sign across the parentheses: \[ 8n - 6n - 5 = 9 \]

  2. Combine like terms: \[ (8n - 6n) - 5 = 9 \] \[ 2n - 5 = 9 \]

  3. Add 5 to both sides to isolate the term with \( n \): \[ 2n - 5 + 5 = 9 + 5 \] \[ 2n = 14 \]

  4. Divide both sides by 2 to solve for \( n \): \[ n = \frac{14}{2} = 7 \]

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