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Simplifying 2(5d + 2) = 5d + 8 Reorder the terms: 2(2 + 5d) = 5d + 8 (2 * 2 + 5d * 2) = 5d + 8 (4 + 10d) = 5d + 8 Reorder the terms: 4 + 10d = 8 + 5d Solving 4 + 10d = 8 + 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 4 + 10d + -5d = 8 + 5d + -5d Combine like terms: 10d + -5d = 5d 4 + 5d = 8 + 5d + -5d Combine like terms: 5d + -5d = 0 4 + 5d = 8 + 0 4 + 5d = 8 Add '-4' to each side of the equation. 4 + -4 + 5d = 8 + -4 Combine like terms: 4 + -4 = 0 0 + 5d = 8 + -4 5d = 8 + -4 Combine like terms: 8 + -4 = 4 5d = 4 Divide each side by '5'. d = 0.8 Simplifying d = 0.8
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