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Simplifying 25(100d + -1200) = 400 Reorder the terms: 25(-1200 + 100d) = 400 (-1200 * 25 + 100d * 25) = 400 (-30000 + 2500d) = 400 Solving -30000 + 2500d = 400 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '30000' to each side of the equation. -30000 + 30000 + 2500d = 400 + 30000 Combine like terms: -30000 + 30000 = 0 0 + 2500d = 400 + 30000 2500d = 400 + 30000 Combine like terms: 400 + 30000 = 30400 2500d = 30400 Divide each side by '2500'. d = 12.16 Simplifying d = 12.16
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