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Simplifying 0.2d + 0.38(3000 + -1d) = 0.79(6000) 0.2d + (3000 * 0.38 + -1d * 0.38) = 0.79(6000) 0.2d + (1140 + -0.38d) = 0.79(6000) Reorder the terms: 1140 + 0.2d + -0.38d = 0.79(6000) Combine like terms: 0.2d + -0.38d = -0.18d 1140 + -0.18d = 0.79(6000) Multiply 0.79 * 6000 1140 + -0.18d = 4740 Solving 1140 + -0.18d = 4740 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1140' to each side of the equation. 1140 + -1140 + -0.18d = 4740 + -1140 Combine like terms: 1140 + -1140 = 0 0 + -0.18d = 4740 + -1140 -0.18d = 4740 + -1140 Combine like terms: 4740 + -1140 = 3600 -0.18d = 3600 Divide each side by '-0.18'. d = -20000 Simplifying d = -20000
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