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Simplifying 8(2d + 7) + -3 = 4(7 + -2d) + 11 Reorder the terms: 8(7 + 2d) + -3 = 4(7 + -2d) + 11 (7 * 8 + 2d * 8) + -3 = 4(7 + -2d) + 11 (56 + 16d) + -3 = 4(7 + -2d) + 11 Reorder the terms: 56 + -3 + 16d = 4(7 + -2d) + 11 Combine like terms: 56 + -3 = 53 53 + 16d = 4(7 + -2d) + 11 53 + 16d = (7 * 4 + -2d * 4) + 11 53 + 16d = (28 + -8d) + 11 Reorder the terms: 53 + 16d = 28 + 11 + -8d Combine like terms: 28 + 11 = 39 53 + 16d = 39 + -8d Solving 53 + 16d = 39 + -8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '8d' to each side of the equation. 53 + 16d + 8d = 39 + -8d + 8d Combine like terms: 16d + 8d = 24d 53 + 24d = 39 + -8d + 8d Combine like terms: -8d + 8d = 0 53 + 24d = 39 + 0 53 + 24d = 39 Add '-53' to each side of the equation. 53 + -53 + 24d = 39 + -53 Combine like terms: 53 + -53 = 0 0 + 24d = 39 + -53 24d = 39 + -53 Combine like terms: 39 + -53 = -14 24d = -14 Divide each side by '24'. d = -0.5833333333 Simplifying d = -0.5833333333
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