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Simplifying -3(5d + 9) = -25 + 8d Reorder the terms: -3(9 + 5d) = -25 + 8d (9 * -3 + 5d * -3) = -25 + 8d (-27 + -15d) = -25 + 8d Solving -27 + -15d = -25 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -27 + -15d + -8d = -25 + 8d + -8d Combine like terms: -15d + -8d = -23d -27 + -23d = -25 + 8d + -8d Combine like terms: 8d + -8d = 0 -27 + -23d = -25 + 0 -27 + -23d = -25 Add '27' to each side of the equation. -27 + 27 + -23d = -25 + 27 Combine like terms: -27 + 27 = 0 0 + -23d = -25 + 27 -23d = -25 + 27 Combine like terms: -25 + 27 = 2 -23d = 2 Divide each side by '-23'. d = -0.08695652174 Simplifying d = -0.08695652174
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