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Simplifying D + -7d + 12 = 8d + 10 + -6d Reorder the terms: 12 + D + -7d = 8d + 10 + -6d Reorder the terms: 12 + D + -7d = 10 + 8d + -6d Combine like terms: 8d + -6d = 2d 12 + D + -7d = 10 + 2d Solving 12 + D + -7d = 10 + 2d Solving for variable 'D'. Move all terms containing D to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + D + -12 + -7d = 10 + -12 + 2d Reorder the terms: 12 + -12 + D + -7d = 10 + -12 + 2d Combine like terms: 12 + -12 = 0 0 + D + -7d = 10 + -12 + 2d D + -7d = 10 + -12 + 2d Combine like terms: 10 + -12 = -2 D + -7d = -2 + 2d Add '7d' to each side of the equation. D + -7d + 7d = -2 + 2d + 7d Combine like terms: -7d + 7d = 0 D + 0 = -2 + 2d + 7d D = -2 + 2d + 7d Combine like terms: 2d + 7d = 9d D = -2 + 9d Simplifying D = -2 + 9d
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