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Simplifying 5(4 + d) + -2(d + -3) = 20 (4 * 5 + d * 5) + -2(d + -3) = 20 (20 + 5d) + -2(d + -3) = 20 Reorder the terms: 20 + 5d + -2(-3 + d) = 20 20 + 5d + (-3 * -2 + d * -2) = 20 20 + 5d + (6 + -2d) = 20 Reorder the terms: 20 + 6 + 5d + -2d = 20 Combine like terms: 20 + 6 = 26 26 + 5d + -2d = 20 Combine like terms: 5d + -2d = 3d 26 + 3d = 20 Solving 26 + 3d = 20 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 3d = 20 + -26 Combine like terms: 26 + -26 = 0 0 + 3d = 20 + -26 3d = 20 + -26 Combine like terms: 20 + -26 = -6 3d = -6 Divide each side by '3'. d = -2 Simplifying d = -2
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