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Simplifying d + 10d + 25(44 + -2d) = 437 d + 10d + (44 * 25 + -2d * 25) = 437 d + 10d + (1100 + -50d) = 437 Reorder the terms: 1100 + d + 10d + -50d = 437 Combine like terms: d + 10d = 11d 1100 + 11d + -50d = 437 Combine like terms: 11d + -50d = -39d 1100 + -39d = 437 Solving 1100 + -39d = 437 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1100' to each side of the equation. 1100 + -1100 + -39d = 437 + -1100 Combine like terms: 1100 + -1100 = 0 0 + -39d = 437 + -1100 -39d = 437 + -1100 Combine like terms: 437 + -1100 = -663 -39d = -663 Divide each side by '-39'. d = 17 Simplifying d = 17
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