I apologize for the mistake in the previous response.
To correctly solve -84 - (-5/6), we can simplify the expression using the rules of adding and subtracting negative numbers and fractions.
First, remember that subtracting a negative number is the same as adding a positive number. So, we can rewrite the expression as follows:
-84 + 5/6
Now, let's find a common denominator between -84 and 5/6, which is 6. To do this, we multiply the numerator and denominator of 5/6 by 6:
-84 + (5/6 * 6/6)
-84 + 30/6
Next, let's convert -84 to a fraction with a denominator of 6:
(-84 * 6/6) + 30/6
-504/6 + 30/6
Now that we have a common denominator, we can sum the numerators:
(-504 + 30)/6
-474/6
Simplify the fraction by dividing the numerator and denominator by their greatest common divisor, which is 6:
-474/6 = -79/1
Therefore, -84 - (-5/6) equals -79/1 or simply -79.