Subjects algebra

Expression Simplification 28Eb15

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Expression Simplification 28Eb15


1. **State the problem:** Simplify the expression $4 \times 3 \times \frac{2}{-3} - (-1) \times 3 \times (-3) \times 2$. 2. **Recall the rules:** - Multiplication and division are performed from left to right. - Subtracting a negative number is equivalent to adding the positive. - Pay attention to signs when multiplying or dividing. 3. **Calculate each part:** - First part: $4 \times 3 = 12$ - Then multiply by $\frac{2}{-3}$: $12 \times \frac{2}{-3} = \frac{24}{-3} = -8$ 4. **Calculate the second part:** - $-(-1) = +1$ - Multiply $1 \times 3 = 3$ - Multiply $3 \times (-3) = -9$ - Multiply $-9 \times 2 = -18$ 5. **Combine both parts:** - $-8 - (-18) = -8 + 18 = 10$ **Final answer:** $10$