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Simplifying 8d + 20 = 5(-2d + -5) Reorder the terms: 20 + 8d = 5(-2d + -5) Reorder the terms: 20 + 8d = 5(-5 + -2d) 20 + 8d = (-5 * 5 + -2d * 5) 20 + 8d = (-25 + -10d) Solving 20 + 8d = -25 + -10d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '10d' to each side of the equation. 20 + 8d + 10d = -25 + -10d + 10d Combine like terms: 8d + 10d = 18d 20 + 18d = -25 + -10d + 10d Combine like terms: -10d + 10d = 0 20 + 18d = -25 + 0 20 + 18d = -25 Add '-20' to each side of the equation. 20 + -20 + 18d = -25 + -20 Combine like terms: 20 + -20 = 0 0 + 18d = -25 + -20 18d = -25 + -20 Combine like terms: -25 + -20 = -45 18d = -45 Divide each side by '18'. d = -2.5 Simplifying d = -2.5
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