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Simplifying 5(d + 2) = 3d + 24 Reorder the terms: 5(2 + d) = 3d + 24 (2 * 5 + d * 5) = 3d + 24 (10 + 5d) = 3d + 24 Reorder the terms: 10 + 5d = 24 + 3d Solving 10 + 5d = 24 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. 10 + 5d + -3d = 24 + 3d + -3d Combine like terms: 5d + -3d = 2d 10 + 2d = 24 + 3d + -3d Combine like terms: 3d + -3d = 0 10 + 2d = 24 + 0 10 + 2d = 24 Add '-10' to each side of the equation. 10 + -10 + 2d = 24 + -10 Combine like terms: 10 + -10 = 0 0 + 2d = 24 + -10 2d = 24 + -10 Combine like terms: 24 + -10 = 14 2d = 14 Divide each side by '2'. d = 7 Simplifying d = 7
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