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Simplifying 9d + -13 = 1d + 6d + 17 Reorder the terms: -13 + 9d = 1d + 6d + 17 Reorder the terms: -13 + 9d = 17 + 1d + 6d Combine like terms: 1d + 6d = 7d -13 + 9d = 17 + 7d Solving -13 + 9d = 17 + 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. -13 + 9d + -7d = 17 + 7d + -7d Combine like terms: 9d + -7d = 2d -13 + 2d = 17 + 7d + -7d Combine like terms: 7d + -7d = 0 -13 + 2d = 17 + 0 -13 + 2d = 17 Add '13' to each side of the equation. -13 + 13 + 2d = 17 + 13 Combine like terms: -13 + 13 = 0 0 + 2d = 17 + 13 2d = 17 + 13 Combine like terms: 17 + 13 = 30 2d = 30 Divide each side by '2'. d = 15 Simplifying d = 15
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