Example

Example of Simplifying 8(−2)+4(−3)−5(2)+3\frac{8(-2)+4(-3)}{-5(2)+3}

To simplify the expression 8(−2)+4(−3)−5(2)+3\frac{8(-2)+4(-3)}{-5(2)+3}, follow the procedure of simplifying the numerator and denominator independently.

In the numerator, perform the multiplication first: 8(−2)=−168(-2) = -16 and 4(−3)=−124(-3) = -12, yielding −16+(−12)=−28-16 + (-12) = -28. In the denominator, multiply: −5(2)=−10-5(2) = -10, yielding −10+3=−7-10 + 3 = -7. Rewrite the fraction with these simplified values to get −28−7\frac{-28}{-7}. Divide to obtain the final answer: −28÷(−7)=4-28 \div (-7) = 4.

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Updated 2026-06-03

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