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Simplifying 27 = -5(4d + 9) Reorder the terms: 27 = -5(9 + 4d) 27 = (9 * -5 + 4d * -5) 27 = (-45 + -20d) Solving 27 = -45 + -20d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '20d' to each side of the equation. 27 + 20d = -45 + -20d + 20d Combine like terms: -20d + 20d = 0 27 + 20d = -45 + 0 27 + 20d = -45 Add '-27' to each side of the equation. 27 + -27 + 20d = -45 + -27 Combine like terms: 27 + -27 = 0 0 + 20d = -45 + -27 20d = -45 + -27 Combine like terms: -45 + -27 = -72 20d = -72 Divide each side by '20'. d = -3.6 Simplifying d = -3.6
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