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Chapter 1: Problem 52

Simplify each series of additions and subtractions. $$14-3-(-7)$$

Short Answer

Expert verified
The simplified form of \(14-3-(-7)\) is 18.

Step by step solution

01

Understand the Numbers and Signs

The expression is \(14-3-(-7)\). The \( (-7) \) is enclosed in parentheses and has a minus (-) sign in front of it. This means the \( (-7) \) will be added, because two negatives make a positive when subtracting.
02

Simplify Expression by Performing the First Operation

Perform the first operation which is \(14-3\) to simplify the expression. The result is \(11\). So, the expression now turns into \(11-(-7)\).
03

Perform the Next Calculation

In the expression \(11-(-7)\), convert the double negative into a positive: \(11-(-7) = 11+7\). Proceed to add 11 and 7 to get 18 as the final result.

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