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Simplifying 2(d + 2) = 10(2 + -3d) Reorder the terms: 2(2 + d) = 10(2 + -3d) (2 * 2 + d * 2) = 10(2 + -3d) (4 + 2d) = 10(2 + -3d) 4 + 2d = (2 * 10 + -3d * 10) 4 + 2d = (20 + -30d) Solving 4 + 2d = 20 + -30d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '30d' to each side of the equation. 4 + 2d + 30d = 20 + -30d + 30d Combine like terms: 2d + 30d = 32d 4 + 32d = 20 + -30d + 30d Combine like terms: -30d + 30d = 0 4 + 32d = 20 + 0 4 + 32d = 20 Add '-4' to each side of the equation. 4 + -4 + 32d = 20 + -4 Combine like terms: 4 + -4 = 0 0 + 32d = 20 + -4 32d = 20 + -4 Combine like terms: 20 + -4 = 16 32d = 16 Divide each side by '32'. d = 0.5 Simplifying d = 0.5
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