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Simplifying -9(5d + 7) = 28 + 3d Reorder the terms: -9(7 + 5d) = 28 + 3d (7 * -9 + 5d * -9) = 28 + 3d (-63 + -45d) = 28 + 3d Solving -63 + -45d = 28 + 3d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-3d' to each side of the equation. -63 + -45d + -3d = 28 + 3d + -3d Combine like terms: -45d + -3d = -48d -63 + -48d = 28 + 3d + -3d Combine like terms: 3d + -3d = 0 -63 + -48d = 28 + 0 -63 + -48d = 28 Add '63' to each side of the equation. -63 + 63 + -48d = 28 + 63 Combine like terms: -63 + 63 = 0 0 + -48d = 28 + 63 -48d = 28 + 63 Combine like terms: 28 + 63 = 91 -48d = 91 Divide each side by '-48'. d = -1.895833333 Simplifying d = -1.895833333
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