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Simplifying 2d + d + 1 = 3d + -6 + -7d Reorder the terms: 1 + 2d + d = 3d + -6 + -7d Combine like terms: 2d + d = 3d 1 + 3d = 3d + -6 + -7d Reorder the terms: 1 + 3d = -6 + 3d + -7d Combine like terms: 3d + -7d = -4d 1 + 3d = -6 + -4d Solving 1 + 3d = -6 + -4d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '4d' to each side of the equation. 1 + 3d + 4d = -6 + -4d + 4d Combine like terms: 3d + 4d = 7d 1 + 7d = -6 + -4d + 4d Combine like terms: -4d + 4d = 0 1 + 7d = -6 + 0 1 + 7d = -6 Add '-1' to each side of the equation. 1 + -1 + 7d = -6 + -1 Combine like terms: 1 + -1 = 0 0 + 7d = -6 + -1 7d = -6 + -1 Combine like terms: -6 + -1 = -7 7d = -7 Divide each side by '7'. d = -1 Simplifying d = -1
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