Math

Question Simplify the expression 19(8)(14)19-(-8)-(-14).

Studdy Solution

STEP 1

Assumptions
1. We are given the expression 19(8)(14)19 - (-8) - (-14).
2. We need to simplify the expression by applying the rules of arithmetic operations.

STEP 2

First, we need to understand the operation of subtraction of a negative number. Subtracting a negative number is equivalent to adding its positive counterpart.
a(b)=a+ba - (-b) = a + b

STEP 3

Apply this rule to the first negative number in the expression.
19(8)=19+819 - (-8) = 19 + 8

STEP 4

Now, simplify the expression after applying the rule to the first negative number.
19+8=2719 + 8 = 27

STEP 5

Next, apply the rule to the second negative number in the expression.
27(14)=27+1427 - (-14) = 27 + 14

STEP 6

Finally, simplify the expression after applying the rule to the second negative number.
27+14=4127 + 14 = 41
The simplified expression is 4141.

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