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Simplifying 14d + 3 = 6d + 51 Reorder the terms: 3 + 14d = 6d + 51 Reorder the terms: 3 + 14d = 51 + 6d Solving 3 + 14d = 51 + 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. 3 + 14d + -6d = 51 + 6d + -6d Combine like terms: 14d + -6d = 8d 3 + 8d = 51 + 6d + -6d Combine like terms: 6d + -6d = 0 3 + 8d = 51 + 0 3 + 8d = 51 Add '-3' to each side of the equation. 3 + -3 + 8d = 51 + -3 Combine like terms: 3 + -3 = 0 0 + 8d = 51 + -3 8d = 51 + -3 Combine like terms: 51 + -3 = 48 8d = 48 Divide each side by '8'. d = 6 Simplifying d = 6
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