1Cademy - Simplifying $$9 - |8 - 4(7

Example

Simplifying $9 - |8 - 4(7 - 5)|$

To simplify the expression $9 - |8 - 4(7 - 5)|$ , follow the order of operations by resolving the innermost grouping symbols first. Treat the absolute value bars as an outer grouping symbol. Begin by subtracting inside the parentheses: $7 - 5 = 2$ , producing $9 - |8 - 4(2)|$ . Next, perform the multiplication inside the absolute value: $4(2) = 8$ , giving $9 - |8 - 8|$ . Then, carry out the subtraction inside the absolute value bars: $8 - 8 = 0$ , resulting in $9 - |0|$ . After that, take the absolute value of $0$ , which is $0$ , leaving $9 - 0$ . Finally, subtract to determine the final result: $9$ .

Updated 2026-06-25

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OpenStax Intermediate Algebra

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