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Simplifying 14d + 2 = 7d + 51 Reorder the terms: 2 + 14d = 7d + 51 Reorder the terms: 2 + 14d = 51 + 7d Solving 2 + 14d = 51 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 2 + 14d + -7d = 51 + 7d + -7d Combine like terms: 14d + -7d = 7d 2 + 7d = 51 + 7d + -7d Combine like terms: 7d + -7d = 0 2 + 7d = 51 + 0 2 + 7d = 51 Add '-2' to each side of the equation. 2 + -2 + 7d = 51 + -2 Combine like terms: 2 + -2 = 0 0 + 7d = 51 + -2 7d = 51 + -2 Combine like terms: 51 + -2 = 49 7d = 49 Divide each side by '7'. d = 7 Simplifying d = 7
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