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ж. \( 100-4(22 x+29)+101 x \) и. \( 40-38(d-2)+43 d-(99-4 d) \)

Ask by Bob Guzman. in Mongolia
Jan 22,2025

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Tutor-Verified Answer

Answer

ж. \( -16 + 13x \) и. \( 17 + 9d \)

Solution

Calculate or simplify the expression \( 100-4(22x+29)+101x \). Simplify the expression by following steps: - step0: Solution: \(100-4\left(22x+29\right)+101x\) - step1: Expand the expression: \(100-88x-116+101x\) - step2: Subtract the numbers: \(-16+13x\) Calculate or simplify the expression \( 40-38(d-2)+43d-(99-4d) \). Simplify the expression by following steps: - step0: Solution: \(40-38\left(d-2\right)+43d-\left(99-4d\right)\) - step1: Remove the parentheses: \(40-38\left(d-2\right)+43d-99+4d\) - step2: Expand the expression: \(40-38d+76+43d-99+4d\) - step3: Calculate: \(17+9d\) ж. \( 100-4(22x+29)+101x = -16+13x \) и. \( 40-38(d-2)+43d-(99-4d) = 17+9d \)

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Extra Insights

В первом уравнении мы можем упростить его, раскрыв скобки и собрав все похожие члены: \( 100 - 88x - 116 + 101x = 100 - 116 + 13x = -16 + 13x \). Во втором уравнении раскрываем скобки и складываем: \( 40 - 38d + 76 + 43d + 4d - 99 = (43d - 38d + 4d) + (40 + 76 - 99) = 9d + 17 \).

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