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Simplifying 16d + 1 = 7d + 55 Reorder the terms: 1 + 16d = 7d + 55 Reorder the terms: 1 + 16d = 55 + 7d Solving 1 + 16d = 55 + 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. 1 + 16d + -7d = 55 + 7d + -7d Combine like terms: 16d + -7d = 9d 1 + 9d = 55 + 7d + -7d Combine like terms: 7d + -7d = 0 1 + 9d = 55 + 0 1 + 9d = 55 Add '-1' to each side of the equation. 1 + -1 + 9d = 55 + -1 Combine like terms: 1 + -1 = 0 0 + 9d = 55 + -1 9d = 55 + -1 Combine like terms: 55 + -1 = 54 9d = 54 Divide each side by '9'. d = 6 Simplifying d = 6
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