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Simplifying d + 10d + 25(38 + -2d) = 404 d + 10d + (38 * 25 + -2d * 25) = 404 d + 10d + (950 + -50d) = 404 Reorder the terms: 950 + d + 10d + -50d = 404 Combine like terms: d + 10d = 11d 950 + 11d + -50d = 404 Combine like terms: 11d + -50d = -39d 950 + -39d = 404 Solving 950 + -39d = 404 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-950' to each side of the equation. 950 + -950 + -39d = 404 + -950 Combine like terms: 950 + -950 = 0 0 + -39d = 404 + -950 -39d = 404 + -950 Combine like terms: 404 + -950 = -546 -39d = -546 Divide each side by '-39'. d = 14 Simplifying d = 14
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