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Simplifying d + 10d + 25(25 + -2d) = 157 d + 10d + (25 * 25 + -2d * 25) = 157 d + 10d + (625 + -50d) = 157 Reorder the terms: 625 + d + 10d + -50d = 157 Combine like terms: d + 10d = 11d 625 + 11d + -50d = 157 Combine like terms: 11d + -50d = -39d 625 + -39d = 157 Solving 625 + -39d = 157 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-625' to each side of the equation. 625 + -625 + -39d = 157 + -625 Combine like terms: 625 + -625 = 0 0 + -39d = 157 + -625 -39d = 157 + -625 Combine like terms: 157 + -625 = -468 -39d = -468 Divide each side by '-39'. d = 12 Simplifying d = 12
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