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Simplifying 0.5(12d + 16) + 2d = 24 Reorder the terms: 0.5(16 + 12d) + 2d = 24 (16 * 0.5 + 12d * 0.5) + 2d = 24 (8 + 6d) + 2d = 24 Combine like terms: 6d + 2d = 8d 8 + 8d = 24 Solving 8 + 8d = 24 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 8d = 24 + -8 Combine like terms: 8 + -8 = 0 0 + 8d = 24 + -8 8d = 24 + -8 Combine like terms: 24 + -8 = 16 8d = 16 Divide each side by '8'. d = 2 Simplifying d = 2
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