### Solution

To identify which equation that doesn't belong, let's see if we can identify a pattern. Thus, solving each equation, using inverse operations, might help us.

Equation | Inverse operation | Solution |
---|---|---|

$n+14=27$ | $−14$ | $n=13$ |

$12+n=25$ | $−12$ | $n=13$ |

$n−16=29$ | $+16$ | $n=45$ |

$n−4=9$ | $+4$ | $n=13$ |

Three equations have the solution $n=13.$ Thus, the equation that doesn't belong is $n−16=29 $ since it has a different solution.

### Hint

Solve the equations.

### Answer

$n−16=29,$ see solution.