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Simplify the following : 15-6div2-5x...

Simplify the following :
`15-6div2-5xx(-7)`

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The correct Answer is:
To simplify the expression `15 - 6 ÷ 2 - 5 × (-7)`, we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication (from left to right), Addition and Subtraction (from left to right)). ### Step-by-Step Solution: 1. **Identify the operations**: The expression contains subtraction, division, and multiplication. \[ 15 - 6 ÷ 2 - 5 × (-7) \] 2. **Perform the division**: According to BODMAS, we first handle the division. \[ 6 ÷ 2 = 3 \] Now, substitute this back into the expression: \[ 15 - 3 - 5 × (-7) \] 3. **Perform the multiplication**: Next, we perform the multiplication. \[ 5 × (-7) = -35 \] Substitute this back into the expression: \[ 15 - 3 - (-35) \] 4. **Handle the double negative**: Subtracting a negative is the same as adding a positive. \[ - (-35) = +35 \] Now the expression becomes: \[ 15 - 3 + 35 \] 5. **Perform the addition and subtraction from left to right**: - First, subtract: \[ 15 - 3 = 12 \] - Then, add: \[ 12 + 35 = 47 \] ### Final Answer: The simplified result of the expression `15 - 6 ÷ 2 - 5 × (-7)` is **47**.
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