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Simplifying -24 + 4d = 9(3d + 5) Reorder the terms: -24 + 4d = 9(5 + 3d) -24 + 4d = (5 * 9 + 3d * 9) -24 + 4d = (45 + 27d) Solving -24 + 4d = 45 + 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 = 45 + 27d + -27d Combine like terms: 4d + -27d = -23d -24 + -23d = 45 + 27d + -27d Combine like terms: 27d + -27d = 0 -24 + -23d = 45 + 0 -24 + -23d = 45 Add '24' to each side of the equation. -24 + 24 + -23d = 45 + 24 Combine like terms: -24 + 24 = 0 0 + -23d = 45 + 24 -23d = 45 + 24 Combine like terms: 45 + 24 = 69 -23d = 69 Divide each side by '-23'. d = -3 Simplifying d = -3
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