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Simplifying 8(9d + 7) = -29 + -5d Reorder the terms: 8(7 + 9d) = -29 + -5d (7 * 8 + 9d * 8) = -29 + -5d (56 + 72d) = -29 + -5d Solving 56 + 72d = -29 + -5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '5d' to each side of the equation. 56 + 72d + 5d = -29 + -5d + 5d Combine like terms: 72d + 5d = 77d 56 + 77d = -29 + -5d + 5d Combine like terms: -5d + 5d = 0 56 + 77d = -29 + 0 56 + 77d = -29 Add '-56' to each side of the equation. 56 + -56 + 77d = -29 + -56 Combine like terms: 56 + -56 = 0 0 + 77d = -29 + -56 77d = -29 + -56 Combine like terms: -29 + -56 = -85 77d = -85 Divide each side by '77'. d = -1.103896104 Simplifying d = -1.103896104
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