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Simplifying 6d + 3d + 7 + -6d = 0 Reorder the terms: 7 + 6d + 3d + -6d = 0 Combine like terms: 6d + 3d = 9d 7 + 9d + -6d = 0 Combine like terms: 9d + -6d = 3d 7 + 3d = 0 Solving 7 + 3d = 0 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 3d = 0 + -7 Combine like terms: 7 + -7 = 0 0 + 3d = 0 + -7 3d = 0 + -7 Combine like terms: 0 + -7 = -7 3d = -7 Divide each side by '3'. d = -2.333333333 Simplifying d = -2.333333333
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