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Solve for n.

4=
–
3(n+8)–11
n=

1 answer

To solve the equation \( 4 = -3(n + 8) - 11 \), follow these steps:

  1. Start by simplifying the right side of the equation: \[ 4 = -3(n + 8) - 11 \]

  2. Distribute \(-3\) through \((n + 8)\): \[ = -3n - 24 - 11 \]

  3. Combine like terms on the right side: \[ = -3n - 35 \]

  4. Now the equation looks like: \[ 4 = -3n - 35 \]

  5. Next, isolate \(-3n\) by adding \(35\) to both sides: \[ 4 + 35 = -3n \] \[ 39 = -3n \]

  6. Now, divide both sides by \(-3\) to solve for \(n\): \[ n = \frac{39}{-3} \] \[ n = -13 \]

Thus, the solution is: \[ n = -13 \]