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Simplifying 0.17d + 0.67 = 0.25(d + -2) Reorder the terms: 0.67 + 0.17d = 0.25(d + -2) Reorder the terms: 0.67 + 0.17d = 0.25(-2 + d) 0.67 + 0.17d = (-2 * 0.25 + d * 0.25) 0.67 + 0.17d = (-0.5 + 0.25d) Solving 0.67 + 0.17d = -0.5 + 0.25d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.25d' to each side of the equation. 0.67 + 0.17d + -0.25d = -0.5 + 0.25d + -0.25d Combine like terms: 0.17d + -0.25d = -0.08d 0.67 + -0.08d = -0.5 + 0.25d + -0.25d Combine like terms: 0.25d + -0.25d = 0.00 0.67 + -0.08d = -0.5 + 0.00 0.67 + -0.08d = -0.5 Add '-0.67' to each side of the equation. 0.67 + -0.67 + -0.08d = -0.5 + -0.67 Combine like terms: 0.67 + -0.67 = 0.00 0.00 + -0.08d = -0.5 + -0.67 -0.08d = -0.5 + -0.67 Combine like terms: -0.5 + -0.67 = -1.17 -0.08d = -1.17 Divide each side by '-0.08'. d = 14.625 Simplifying d = 14.625
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