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Simplifying 2d + 0.666 = 6(0.333d + 1) Reorder the terms: 0.666 + 2d = 6(0.333d + 1) Reorder the terms: 0.666 + 2d = 6(1 + 0.333d) 0.666 + 2d = (1 * 6 + 0.333d * 6) 0.666 + 2d = (6 + 1.998d) Solving 0.666 + 2d = 6 + 1.998d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1.998d' to each side of the equation. 0.666 + 2d + -1.998d = 6 + 1.998d + -1.998d Combine like terms: 2d + -1.998d = 0.002d 0.666 + 0.002d = 6 + 1.998d + -1.998d Combine like terms: 1.998d + -1.998d = 0.000 0.666 + 0.002d = 6 + 0.000 0.666 + 0.002d = 6 Add '-0.666' to each side of the equation. 0.666 + -0.666 + 0.002d = 6 + -0.666 Combine like terms: 0.666 + -0.666 = 0.000 0.000 + 0.002d = 6 + -0.666 0.002d = 6 + -0.666 Combine like terms: 6 + -0.666 = 5.334 0.002d = 5.334 Divide each side by '0.002'. d = 2667 Simplifying d = 2667
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