To solve the problem "Ten less than [tex]\( m \)[/tex] results in -24," follow these steps:
1. Translate the statement into an equation.
The phrase "Ten less than [tex]\( m \)[/tex]" indicates that you subtract 10 from [tex]\( m \)[/tex]. Therefore, the equation can be written as:
[tex]\[
m - 10 = -24
\][/tex]
2. Isolate the variable [tex]\( m \)[/tex].
To solve for [tex]\( m \)[/tex], you need to get [tex]\( m \)[/tex] by itself on one side of the equation. You can do this by adding 10 to both sides of the equation to cancel out the -10 on the left side:
[tex]\[
m - 10 + 10 = -24 + 10
\][/tex]
3. Simplify both sides of the equation.
On the left side, [tex]\( -10 + 10 \)[/tex] cancels out, leaving you with just [tex]\( m \)[/tex]. On the right side, add the numbers together:
[tex]\[
m = -24 + 10
\][/tex]
4. Calculate the result.
Adding -24 and 10 gives:
[tex]\[
m = -14
\][/tex]
So, the value of [tex]\( m \)[/tex] is:
[tex]\[
m = -14
\][/tex]
