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Complete the Steps – Absolute Value with Multiplication Outside

publish date2026/05/08 19:54:44.249328 UTC

Complete the step-by-step solution for \(8 - 4|-6 - 2|\):

Step 1 — Subtract inside absolute value: \(-6 - 2 =\) (1)

Step 2 — Find absolute value: \(|-8| =\) (2)

Step 3 — Multiply: \(4(8) = 32\)

Step 4 — Subtract: \(8 - 32 = -24\)

Correct Answer

(1) -8
(2) 8

Explanation

Absolute value bars are grouping symbols — always calculate the expression inside them first: \(-6 - 2 = -8\). Then take the absolute value: \(|-8| = 8\). The number \(4\) immediately outside the bars indicates multiplication: \(4(8) = 32\).

Reference

Mathematics for college students


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