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Simplifying 2(9d + 20) + 5 = 3(d + 3) Reorder the terms: 2(20 + 9d) + 5 = 3(d + 3) (20 * 2 + 9d * 2) + 5 = 3(d + 3) (40 + 18d) + 5 = 3(d + 3) Reorder the terms: 40 + 5 + 18d = 3(d + 3) Combine like terms: 40 + 5 = 45 45 + 18d = 3(d + 3) Reorder the terms: 45 + 18d = 3(3 + d) 45 + 18d = (3 * 3 + d * 3) 45 + 18d = (9 + 3d) Solving 45 + 18d = 9 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 45 + 18d + -3d = 9 + 3d + -3d Combine like terms: 18d + -3d = 15d 45 + 15d = 9 + 3d + -3d Combine like terms: 3d + -3d = 0 45 + 15d = 9 + 0 45 + 15d = 9 Add '-45' to each side of the equation. 45 + -45 + 15d = 9 + -45 Combine like terms: 45 + -45 = 0 0 + 15d = 9 + -45 15d = 9 + -45 Combine like terms: 9 + -45 = -36 15d = -36 Divide each side by '15'. d = -2.4 Simplifying d = -2.4
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