What value of m will make this expression equal to 12.4?

To determine which value of ( m ) will make the expression equal to 12.4, we need to analyze the statements provided:

1. When m = -5.1, the expression will equal 12.4.
2. Any value of m, except when m = -5.1, will make the expression equal to 12.4.
3. m = 0 is the only value that will make the expression equal to 12.4.
4. m = -1 is the only value that will make the expression equal to 12.4.

From statement 1, it clearly states that when ( m = -5.1 ), the expression equals 12.4. If statement 2 is true, it contradicts statement 1, as it suggests that no other ( m ) except -5.1 makes the equation hold.

Therefore, out of the options provided, the correct explanation is that ( m = -5.1 ) is the value that makes the expression equal to 12.4.

If we were to analyze statements 3 and 4, they are incorrect based on the first statement.

So the final answer is: m = -5.1 is the correct value that makes the expression equal to 12.4.