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Simplifying 6d + 3d + -5d + -8 = 2d Reorder the terms: -8 + 6d + 3d + -5d = 2d Combine like terms: 6d + 3d = 9d -8 + 9d + -5d = 2d Combine like terms: 9d + -5d = 4d -8 + 4d = 2d Solving -8 + 4d = 2d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-2d' to each side of the equation. -8 + 4d + -2d = 2d + -2d Combine like terms: 4d + -2d = 2d -8 + 2d = 2d + -2d Combine like terms: 2d + -2d = 0 -8 + 2d = 0 Add '8' to each side of the equation. -8 + 8 + 2d = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2d = 0 + 8 2d = 0 + 8 Combine like terms: 0 + 8 = 8 2d = 8 Divide each side by '2'. d = 4 Simplifying d = 4
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