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Simplifying 4(2d + 5) = 3(1 + -7d) Reorder the terms: 4(5 + 2d) = 3(1 + -7d) (5 * 4 + 2d * 4) = 3(1 + -7d) (20 + 8d) = 3(1 + -7d) 20 + 8d = (1 * 3 + -7d * 3) 20 + 8d = (3 + -21d) Solving 20 + 8d = 3 + -21d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '21d' to each side of the equation. 20 + 8d + 21d = 3 + -21d + 21d Combine like terms: 8d + 21d = 29d 20 + 29d = 3 + -21d + 21d Combine like terms: -21d + 21d = 0 20 + 29d = 3 + 0 20 + 29d = 3 Add '-20' to each side of the equation. 20 + -20 + 29d = 3 + -20 Combine like terms: 20 + -20 = 0 0 + 29d = 3 + -20 29d = 3 + -20 Combine like terms: 3 + -20 = -17 29d = -17 Divide each side by '29'. d = -0.5862068966 Simplifying d = -0.5862068966
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