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Simplifying 4(2d + 5) = 5(d + -5) Reorder the terms: 4(5 + 2d) = 5(d + -5) (5 * 4 + 2d * 4) = 5(d + -5) (20 + 8d) = 5(d + -5) Reorder the terms: 20 + 8d = 5(-5 + d) 20 + 8d = (-5 * 5 + d * 5) 20 + 8d = (-25 + 5d) Solving 20 + 8d = -25 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 20 + 8d + -5d = -25 + 5d + -5d Combine like terms: 8d + -5d = 3d 20 + 3d = -25 + 5d + -5d Combine like terms: 5d + -5d = 0 20 + 3d = -25 + 0 20 + 3d = -25 Add '-20' to each side of the equation. 20 + -20 + 3d = -25 + -20 Combine like terms: 20 + -20 = 0 0 + 3d = -25 + -20 3d = -25 + -20 Combine like terms: -25 + -20 = -45 3d = -45 Divide each side by '3'. d = -15 Simplifying d = -15
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