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Simplifying 15d + 8 = 6d + 53 Reorder the terms: 8 + 15d = 6d + 53 Reorder the terms: 8 + 15d = 53 + 6d Solving 8 + 15d = 53 + 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. 8 + 15d + -6d = 53 + 6d + -6d Combine like terms: 15d + -6d = 9d 8 + 9d = 53 + 6d + -6d Combine like terms: 6d + -6d = 0 8 + 9d = 53 + 0 8 + 9d = 53 Add '-8' to each side of the equation. 8 + -8 + 9d = 53 + -8 Combine like terms: 8 + -8 = 0 0 + 9d = 53 + -8 9d = 53 + -8 Combine like terms: 53 + -8 = 45 9d = 45 Divide each side by '9'. d = 5 Simplifying d = 5
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