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Simplifying 5(2d + 8) = 2(3d + 24) Reorder the terms: 5(8 + 2d) = 2(3d + 24) (8 * 5 + 2d * 5) = 2(3d + 24) (40 + 10d) = 2(3d + 24) Reorder the terms: 40 + 10d = 2(24 + 3d) 40 + 10d = (24 * 2 + 3d * 2) 40 + 10d = (48 + 6d) Solving 40 + 10d = 48 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 40 + 10d + -6d = 48 + 6d + -6d Combine like terms: 10d + -6d = 4d 40 + 4d = 48 + 6d + -6d Combine like terms: 6d + -6d = 0 40 + 4d = 48 + 0 40 + 4d = 48 Add '-40' to each side of the equation. 40 + -40 + 4d = 48 + -40 Combine like terms: 40 + -40 = 0 0 + 4d = 48 + -40 4d = 48 + -40 Combine like terms: 48 + -40 = 8 4d = 8 Divide each side by '4'. d = 2 Simplifying d = 2
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