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Simplifying 0.6(15d + 20) + -6(18d + -12) = 38 Reorder the terms: 0.6(20 + 15d) + -6(18d + -12) = 38 (20 * 0.6 + 15d * 0.6) + -6(18d + -12) = 38 (12 + 9d) + -6(18d + -12) = 38 Reorder the terms: 12 + 9d + -6(-12 + 18d) = 38 12 + 9d + (-12 * -6 + 18d * -6) = 38 12 + 9d + (72 + -108d) = 38 Reorder the terms: 12 + 72 + 9d + -108d = 38 Combine like terms: 12 + 72 = 84 84 + 9d + -108d = 38 Combine like terms: 9d + -108d = -99d 84 + -99d = 38 Solving 84 + -99d = 38 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-84' to each side of the equation. 84 + -84 + -99d = 38 + -84 Combine like terms: 84 + -84 = 0 0 + -99d = 38 + -84 -99d = 38 + -84 Combine like terms: 38 + -84 = -46 -99d = -46 Divide each side by '-99'. d = 0.4646464646 Simplifying d = 0.4646464646
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