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Simplifying 8d + -1d + 2d + -7 = 6d Reorder the terms: -7 + 8d + -1d + 2d = 6d Combine like terms: 8d + -1d = 7d -7 + 7d + 2d = 6d Combine like terms: 7d + 2d = 9d -7 + 9d = 6d Solving -7 + 9d = 6d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-6d' to each side of the equation. -7 + 9d + -6d = 6d + -6d Combine like terms: 9d + -6d = 3d -7 + 3d = 6d + -6d Combine like terms: 6d + -6d = 0 -7 + 3d = 0 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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