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Simplifying 15d + 7 = 8d + 49 Reorder the terms: 7 + 15d = 8d + 49 Reorder the terms: 7 + 15d = 49 + 8d Solving 7 + 15d = 49 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. 7 + 15d + -8d = 49 + 8d + -8d Combine like terms: 15d + -8d = 7d 7 + 7d = 49 + 8d + -8d Combine like terms: 8d + -8d = 0 7 + 7d = 49 + 0 7 + 7d = 49 Add '-7' to each side of the equation. 7 + -7 + 7d = 49 + -7 Combine like terms: 7 + -7 = 0 0 + 7d = 49 + -7 7d = 49 + -7 Combine like terms: 49 + -7 = 42 7d = 42 Divide each side by '7'. d = 6 Simplifying d = 6
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