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Simplifying (23 + -1d) * 10 + 15 = 75 Reorder the terms for easier multiplication: 10(23 + -1d) + 15 = 75 (23 * 10 + -1d * 10) + 15 = 75 (230 + -10d) + 15 = 75 Reorder the terms: 230 + 15 + -10d = 75 Combine like terms: 230 + 15 = 245 245 + -10d = 75 Solving 245 + -10d = 75 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-245' to each side of the equation. 245 + -245 + -10d = 75 + -245 Combine like terms: 245 + -245 = 0 0 + -10d = 75 + -245 -10d = 75 + -245 Combine like terms: 75 + -245 = -170 -10d = -170 Divide each side by '-10'. d = 17 Simplifying d = 17
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