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$-|13 + 8| + |10 - (3 - |-7|)| =$ a. $-7$ b. $9$ c. $13$ d. $21$

Question

$-|13 + 8| + |10 - (3 - |-7|)| =$
a. $-7$
b. $9$
c. $13$
d. $21$

Explanation:

Step1: Innermost absolute value

$|-7| = 7$

Step2: Solve inner parentheses

$3 - 7 = -4$

Step3: Absolute value of result

$|10 - (-4)| = |14| = 14$

Step4: Left absolute value term

$-|13+8| = -|21| = -21$

Step5: Sum the two terms

$-21 + 14 = -7$

Answer:

A. $-7$