If 17 - m = 12 - n, then m - n = ?
Question
If 17 - m = 12 - n, then m - n = ?
Solution
To solve the equation 17 - m = 12 - n, we can start by isolating the variables on one side of the equation.
First, let's move the term with 'm' to the left side by subtracting 'm' from both sides of the equation:
17 - m - m = 12 - n - m
Simplifying this, we get:
17 - 2m = 12 - n
Next, let's move the term with 'n' to the right side by adding 'n' to both sides of the equation:
17 - 2m + n = 12 - n + n
Simplifying this, we get:
17 - 2m + n = 12
Now, let's rearrange the equation to isolate the difference between 'm' and 'n', which is 'm - n':
-2m + n = 12 - 17
Simplifying this, we get:
-2m + n = -5
Finally, we can rewrite the equation as:
m - n = -5
Therefore, the value of 'm - n' is -5.
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