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Simplifying 0.6(15d + 20) + -0.17(18d + -12) = 38 Reorder the terms: 0.6(20 + 15d) + -0.17(18d + -12) = 38 (20 * 0.6 + 15d * 0.6) + -0.17(18d + -12) = 38 (12 + 9d) + -0.17(18d + -12) = 38 Reorder the terms: 12 + 9d + -0.17(-12 + 18d) = 38 12 + 9d + (-12 * -0.17 + 18d * -0.17) = 38 12 + 9d + (2.04 + -3.06d) = 38 Reorder the terms: 12 + 2.04 + 9d + -3.06d = 38 Combine like terms: 12 + 2.04 = 14.04 14.04 + 9d + -3.06d = 38 Combine like terms: 9d + -3.06d = 5.94d 14.04 + 5.94d = 38 Solving 14.04 + 5.94d = 38 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-14.04' to each side of the equation. 14.04 + -14.04 + 5.94d = 38 + -14.04 Combine like terms: 14.04 + -14.04 = 0.00 0.00 + 5.94d = 38 + -14.04 5.94d = 38 + -14.04 Combine like terms: 38 + -14.04 = 23.96 5.94d = 23.96 Divide each side by '5.94'. d = 4.033670034 Simplifying d = 4.033670034
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