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Simplifying -24 + -4d = 9(3d + 8) Reorder the terms: -24 + -4d = 9(8 + 3d) -24 + -4d = (8 * 9 + 3d * 9) -24 + -4d = (72 + 27d) Solving -24 + -4d = 72 + 27d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-27d' to each side of the equation. -24 + -4d + -27d = 72 + 27d + -27d Combine like terms: -4d + -27d = -31d -24 + -31d = 72 + 27d + -27d Combine like terms: 27d + -27d = 0 -24 + -31d = 72 + 0 -24 + -31d = 72 Add '24' to each side of the equation. -24 + 24 + -31d = 72 + 24 Combine like terms: -24 + 24 = 0 0 + -31d = 72 + 24 -31d = 72 + 24 Combine like terms: 72 + 24 = 96 -31d = 96 Divide each side by '-31'. d = -3.096774194 Simplifying d = -3.096774194
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