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Simplifying 8d + d + -5d + -2 = 6d Reorder the terms: -2 + 8d + d + -5d = 6d Combine like terms: 8d + d = 9d -2 + 9d + -5d = 6d Combine like terms: 9d + -5d = 4d -2 + 4d = 6d Solving -2 + 4d = 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. -2 + 4d + -6d = 6d + -6d Combine like terms: 4d + -6d = -2d -2 + -2d = 6d + -6d Combine like terms: 6d + -6d = 0 -2 + -2d = 0 Add '2' to each side of the equation. -2 + 2 + -2d = 0 + 2 Combine like terms: -2 + 2 = 0 0 + -2d = 0 + 2 -2d = 0 + 2 Combine like terms: 0 + 2 = 2 -2d = 2 Divide each side by '-2'. d = -1 Simplifying d = -1
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