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Simplifying 6d + 3d + 5d + 2 = 5d Reorder the terms: 2 + 6d + 3d + 5d = 5d Combine like terms: 6d + 3d = 9d 2 + 9d + 5d = 5d Combine like terms: 9d + 5d = 14d 2 + 14d = 5d Solving 2 + 14d = 5d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-5d' to each side of the equation. 2 + 14d + -5d = 5d + -5d Combine like terms: 14d + -5d = 9d 2 + 9d = 5d + -5d Combine like terms: 5d + -5d = 0 2 + 9d = 0 Add '-2' to each side of the equation. 2 + -2 + 9d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 9d = 0 + -2 9d = 0 + -2 Combine like terms: 0 + -2 = -2 9d = -2 Divide each side by '9'. d = -0.2222222222 Simplifying d = -0.2222222222
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