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Simplifying 7d + 15 = 6 + -2d Reorder the terms: 15 + 7d = 6 + -2d Solving 15 + 7d = 6 + -2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '2d' to each side of the equation. 15 + 7d + 2d = 6 + -2d + 2d Combine like terms: 7d + 2d = 9d 15 + 9d = 6 + -2d + 2d Combine like terms: -2d + 2d = 0 15 + 9d = 6 + 0 15 + 9d = 6 Add '-15' to each side of the equation. 15 + -15 + 9d = 6 + -15 Combine like terms: 15 + -15 = 0 0 + 9d = 6 + -15 9d = 6 + -15 Combine like terms: 6 + -15 = -9 9d = -9 Divide each side by '9'. d = -1 Simplifying d = -1
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