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Simplifying 0.2(1 + -1d) = 2(4 + 0.1d) (1 * 0.2 + -1d * 0.2) = 2(4 + 0.1d) (0.2 + -0.2d) = 2(4 + 0.1d) 0.2 + -0.2d = (4 * 2 + 0.1d * 2) 0.2 + -0.2d = (8 + 0.2d) Solving 0.2 + -0.2d = 8 + 0.2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-0.2d' to each side of the equation. 0.2 + -0.2d + -0.2d = 8 + 0.2d + -0.2d Combine like terms: -0.2d + -0.2d = -0.4d 0.2 + -0.4d = 8 + 0.2d + -0.2d Combine like terms: 0.2d + -0.2d = 0.0 0.2 + -0.4d = 8 + 0.0 0.2 + -0.4d = 8 Add '-0.2' to each side of the equation. 0.2 + -0.2 + -0.4d = 8 + -0.2 Combine like terms: 0.2 + -0.2 = 0.0 0.0 + -0.4d = 8 + -0.2 -0.4d = 8 + -0.2 Combine like terms: 8 + -0.2 = 7.8 -0.4d = 7.8 Divide each side by '-0.4'. d = -19.5 Simplifying d = -19.5
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