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Simplifying 2 + 8d + 10 = 9d + 42 + -3d Reorder the terms: 2 + 10 + 8d = 9d + 42 + -3d Combine like terms: 2 + 10 = 12 12 + 8d = 9d + 42 + -3d Reorder the terms: 12 + 8d = 42 + 9d + -3d Combine like terms: 9d + -3d = 6d 12 + 8d = 42 + 6d Solving 12 + 8d = 42 + 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. 12 + 8d + -6d = 42 + 6d + -6d Combine like terms: 8d + -6d = 2d 12 + 2d = 42 + 6d + -6d Combine like terms: 6d + -6d = 0 12 + 2d = 42 + 0 12 + 2d = 42 Add '-12' to each side of the equation. 12 + -12 + 2d = 42 + -12 Combine like terms: 12 + -12 = 0 0 + 2d = 42 + -12 2d = 42 + -12 Combine like terms: 42 + -12 = 30 2d = 30 Divide each side by '2'. d = 15 Simplifying d = 15
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