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Simplify the following (1 to 6) : (-3...

Simplify the following (1 to 6) :
`(-3)xx(-12)div(-4)+3xx6`.

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The correct Answer is:
To simplify the expression \((-3) \times (-12) \div (-4) + 3 \times 6\), we will follow the order of operations, often remembered by the acronym BODMAS (Brackets, Orders, Division and Multiplication, Addition and Subtraction). ### Step-by-Step Solution: 1. **Identify the operations**: The expression consists of multiplication, division, and addition. \[ (-3) \times (-12) \div (-4) + 3 \times 6 \] 2. **Perform the division first**: According to BODMAS, we will first handle the division part of the expression. \[ (-12) \div (-4) = 3 \] Now, substitute this back into the expression: \[ (-3) \times 3 + 3 \times 6 \] 3. **Perform the multiplications**: Next, we will perform the multiplications from left to right. - First multiplication: \[ (-3) \times 3 = -9 \] - Second multiplication: \[ 3 \times 6 = 18 \] Now, substitute these results back into the expression: \[ -9 + 18 \] 4. **Perform the addition**: Finally, we will add the results together. \[ -9 + 18 = 9 \] ### Final Answer: The simplified result of the expression \((-3) \times (-12) \div (-4) + 3 \times 6\) is \(9\).
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