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Simplifying 5(3d + 4) = 0.6(18d + 39) Reorder the terms: 5(4 + 3d) = 0.6(18d + 39) (4 * 5 + 3d * 5) = 0.6(18d + 39) (20 + 15d) = 0.6(18d + 39) Reorder the terms: 20 + 15d = 0.6(39 + 18d) 20 + 15d = (39 * 0.6 + 18d * 0.6) 20 + 15d = (23.4 + 10.8d) Solving 20 + 15d = 23.4 + 10.8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-10.8d' to each side of the equation. 20 + 15d + -10.8d = 23.4 + 10.8d + -10.8d Combine like terms: 15d + -10.8d = 4.2d 20 + 4.2d = 23.4 + 10.8d + -10.8d Combine like terms: 10.8d + -10.8d = 0.0 20 + 4.2d = 23.4 + 0.0 20 + 4.2d = 23.4 Add '-20' to each side of the equation. 20 + -20 + 4.2d = 23.4 + -20 Combine like terms: 20 + -20 = 0 0 + 4.2d = 23.4 + -20 4.2d = 23.4 + -20 Combine like terms: 23.4 + -20 = 3.4 4.2d = 3.4 Divide each side by '4.2'. d = 0.8095238095 Simplifying d = 0.8095238095
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