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Simplifying 8d + d + -6d + -3 = 6d Reorder the terms: -3 + 8d + d + -6d = 6d Combine like terms: 8d + d = 9d -3 + 9d + -6d = 6d Combine like terms: 9d + -6d = 3d -3 + 3d = 6d Solving -3 + 3d = 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. -3 + 3d + -6d = 6d + -6d Combine like terms: 3d + -6d = -3d -3 + -3d = 6d + -6d Combine like terms: 6d + -6d = 0 -3 + -3d = 0 Add '3' to each side of the equation. -3 + 3 + -3d = 0 + 3 Combine like terms: -3 + 3 = 0 0 + -3d = 0 + 3 -3d = 0 + 3 Combine like terms: 0 + 3 = 3 -3d = 3 Divide each side by '-3'. d = -1 Simplifying d = -1
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