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Simplifying 10d + 25(12 + -1d) = 180 10d + (12 * 25 + -1d * 25) = 180 10d + (300 + -25d) = 180 Reorder the terms: 300 + 10d + -25d = 180 Combine like terms: 10d + -25d = -15d 300 + -15d = 180 Solving 300 + -15d = 180 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-300' to each side of the equation. 300 + -300 + -15d = 180 + -300 Combine like terms: 300 + -300 = 0 0 + -15d = 180 + -300 -15d = 180 + -300 Combine like terms: 180 + -300 = -120 -15d = -120 Divide each side by '-15'. d = 8 Simplifying d = 8
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