Example

Simplifying 19114(31)19 - |11 - 4(3 - 1)|

To simplify the expression 19114(31)19 - |11 - 4(3 - 1)|, apply the order of operations by treating the absolute value bars as grouping symbols and working from the innermost parentheses outward. First, subtract inside the parentheses: 31=23 - 1 = 2, which gives 19114(2)19 - |11 - 4(2)|. Next, multiply inside the absolute value group: 4(2)=84(2) = 8, resulting in 1911819 - |11 - 8|. Then, subtract inside the absolute value bars: 118=311 - 8 = 3, yielding 19319 - |3|. After that, evaluate the absolute value of 33, which is 33, giving 19319 - 3. Finally, complete the subtraction to find the answer: 1616.

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Updated 2026-04-21

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