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Simplifying 9(8d + 5) + 13 = 12d + -2 Reorder the terms: 9(5 + 8d) + 13 = 12d + -2 (5 * 9 + 8d * 9) + 13 = 12d + -2 (45 + 72d) + 13 = 12d + -2 Reorder the terms: 45 + 13 + 72d = 12d + -2 Combine like terms: 45 + 13 = 58 58 + 72d = 12d + -2 Reorder the terms: 58 + 72d = -2 + 12d Solving 58 + 72d = -2 + 12d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-12d' to each side of the equation. 58 + 72d + -12d = -2 + 12d + -12d Combine like terms: 72d + -12d = 60d 58 + 60d = -2 + 12d + -12d Combine like terms: 12d + -12d = 0 58 + 60d = -2 + 0 58 + 60d = -2 Add '-58' to each side of the equation. 58 + -58 + 60d = -2 + -58 Combine like terms: 58 + -58 = 0 0 + 60d = -2 + -58 60d = -2 + -58 Combine like terms: -2 + -58 = -60 60d = -60 Divide each side by '60'. d = -1 Simplifying d = -1
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