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Simplify : 10-[8-{11+30div(4-overline(...

Simplify :
`10-[8-{11+30div(4-overline(5-7))}]`

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The correct Answer is:
To simplify the expression `10 - [8 - {11 + 30 ÷ (4 - (5 - 7))}]`, we will follow the order of operations (parentheses, exponents, multiplication and division from left to right, addition and subtraction from left to right). ### Step-by-Step Solution: 1. **Evaluate the innermost parentheses:** \[ 5 - 7 = -2 \] Now, substitute this back into the expression: \[ 10 - [8 - {11 + 30 ÷ (4 - (-2))}] \] 2. **Evaluate the expression in the parentheses next:** \[ 4 - (-2) = 4 + 2 = 6 \] Substitute this back into the expression: \[ 10 - [8 - {11 + 30 ÷ 6}] \] 3. **Now, perform the division:** \[ 30 ÷ 6 = 5 \] Substitute this back into the expression: \[ 10 - [8 - {11 + 5}] \] 4. **Now, simplify inside the curly brackets:** \[ 11 + 5 = 16 \] Substitute this back into the expression: \[ 10 - [8 - 16] \] 5. **Now, simplify inside the square brackets:** \[ 8 - 16 = -8 \] Substitute this back into the expression: \[ 10 - (-8) \] 6. **Now, simplify the final expression:** \[ 10 + 8 = 18 \] ### Final Answer: The simplified value of the expression is **18**.
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