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Simplifying 5(2d + 5) = -1(9 + -1d) Reorder the terms: 5(5 + 2d) = -1(9 + -1d) (5 * 5 + 2d * 5) = -1(9 + -1d) (25 + 10d) = -1(9 + -1d) 25 + 10d = (9 * -1 + -1d * -1) 25 + 10d = (-9 + 1d) Solving 25 + 10d = -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 + 10d + -1d = -9 + 1d + -1d Combine like terms: 10d + -1d = 9d 25 + 9d = -9 + 1d + -1d Combine like terms: 1d + -1d = 0 25 + 9d = -9 + 0 25 + 9d = -9 Add '-25' to each side of the equation. 25 + -25 + 9d = -9 + -25 Combine like terms: 25 + -25 = 0 0 + 9d = -9 + -25 9d = -9 + -25 Combine like terms: -9 + -25 = -34 9d = -34 Divide each side by '9'. d = -3.777777778 Simplifying d = -3.777777778
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