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Simplifying 0.5(4d + 6) + 5 = 10 Reorder the terms: 0.5(6 + 4d) + 5 = 10 (6 * 0.5 + 4d * 0.5) + 5 = 10 (3 + 2d) + 5 = 10 Reorder the terms: 3 + 5 + 2d = 10 Combine like terms: 3 + 5 = 8 8 + 2d = 10 Solving 8 + 2d = 10 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 + 2d = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 2d = 10 + -8 2d = 10 + -8 Combine like terms: 10 + -8 = 2 2d = 2 Divide each side by '2'. d = 1 Simplifying d = 1
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