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Simplifying 5(3d + 5) = -1(9 + -1d) Reorder the terms: 5(5 + 3d) = -1(9 + -1d) (5 * 5 + 3d * 5) = -1(9 + -1d) (25 + 15d) = -1(9 + -1d) 25 + 15d = (9 * -1 + -1d * -1) 25 + 15d = (-9 + 1d) Solving 25 + 15d = -9 + 1d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1d' to each side of the equation. 25 + 15d + -1d = -9 + 1d + -1d Combine like terms: 15d + -1d = 14d 25 + 14d = -9 + 1d + -1d Combine like terms: 1d + -1d = 0 25 + 14d = -9 + 0 25 + 14d = -9 Add '-25' to each side of the equation. 25 + -25 + 14d = -9 + -25 Combine like terms: 25 + -25 = 0 0 + 14d = -9 + -25 14d = -9 + -25 Combine like terms: -9 + -25 = -34 14d = -34 Divide each side by '14'. d = -2.428571429 Simplifying d = -2.428571429
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