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Simplifying 8d + 3 + -6d = 12 + -4d + 15 Reorder the terms: 3 + 8d + -6d = 12 + -4d + 15 Combine like terms: 8d + -6d = 2d 3 + 2d = 12 + -4d + 15 Reorder the terms: 3 + 2d = 12 + 15 + -4d Combine like terms: 12 + 15 = 27 3 + 2d = 27 + -4d Solving 3 + 2d = 27 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 3 + 2d + 4d = 27 + -4d + 4d Combine like terms: 2d + 4d = 6d 3 + 6d = 27 + -4d + 4d Combine like terms: -4d + 4d = 0 3 + 6d = 27 + 0 3 + 6d = 27 Add '-3' to each side of the equation. 3 + -3 + 6d = 27 + -3 Combine like terms: 3 + -3 = 0 0 + 6d = 27 + -3 6d = 27 + -3 Combine like terms: 27 + -3 = 24 6d = 24 Divide each side by '6'. d = 4 Simplifying d = 4
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