Problem 60 - Introductory Algebra for College Students

Question

Simplify each series of additions and subtractions. $$-19-8-(-6)+(-21)$$

Step-by-Step Solution

Answer

The simplified result of the series of additions and subtractions is \(-42\).

Step 1: Identify the operation

The expression provided is \(-19-8-(-6)+(-21)\), which includes both addition and subtraction of positive and negative numbers.

Step 2: Calculate the subtraction

Subtract \(8\) from \(-19\), this gives \(-19 - 8 = -27\).

Step 3: Calculate the addition of the negative

Add \(6\) to \(-27\) by subtracting a negative number, which is equivalent to adding a positive number. This gives \(-27-(-6) = -21\).

Step 4: Final calculation

Finally, add \(-21\) to the previous result. This gives \(-21 + (-21) = -42\).