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Simplifying 10d + 25(35 + -1d) = 440 10d + (35 * 25 + -1d * 25) = 440 10d + (875 + -25d) = 440 Reorder the terms: 875 + 10d + -25d = 440 Combine like terms: 10d + -25d = -15d 875 + -15d = 440 Solving 875 + -15d = 440 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-875' to each side of the equation. 875 + -875 + -15d = 440 + -875 Combine like terms: 875 + -875 = 0 0 + -15d = 440 + -875 -15d = 440 + -875 Combine like terms: 440 + -875 = -435 -15d = -435 Divide each side by '-15'. d = 29 Simplifying d = 29
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