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Simplifying 5d + -6 = 3d + 9 Reorder the terms: -6 + 5d = 3d + 9 Reorder the terms: -6 + 5d = 9 + 3d Solving -6 + 5d = 9 + 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. -6 + 5d + -3d = 9 + 3d + -3d Combine like terms: 5d + -3d = 2d -6 + 2d = 9 + 3d + -3d Combine like terms: 3d + -3d = 0 -6 + 2d = 9 + 0 -6 + 2d = 9 Add '6' to each side of the equation. -6 + 6 + 2d = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 2d = 9 + 6 2d = 9 + 6 Combine like terms: 9 + 6 = 15 2d = 15 Divide each side by '2'. d = 7.5 Simplifying d = 7.5
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