Solve for n.

Question

9 = –4(n − 19) + 5

Answer 1

To solve for \( n \) in the equation

\[ 9 = -4(n - 19) + 5, \]

follow these steps:

1. Distribute \(-4\) on the right side:

\[ 9 = -4n + 76 + 5. \]

2. Combine like terms on the right side:

\[ 9 = -4n + 81. \]

3. Isolate the term with \( n \) by subtracting \( 81 \) from both sides:

\[ 9 - 81 = -4n. \]

\[ -72 = -4n. \]

4. Divide both sides by \(-4\) to solve for \( n \):

\[ n = \frac{-72}{-4} = 18. \]

Thus, the solution is

\[ \boxed{18}. \]