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Simplifying 7d + d + 5d + 2 = 6d Reorder the terms: 2 + 7d + d + 5d = 6d Combine like terms: 7d + d = 8d 2 + 8d + 5d = 6d Combine like terms: 8d + 5d = 13d 2 + 13d = 6d Solving 2 + 13d = 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 + 13d + -6d = 6d + -6d Combine like terms: 13d + -6d = 7d 2 + 7d = 6d + -6d Combine like terms: 6d + -6d = 0 2 + 7d = 0 Add '-2' to each side of the equation. 2 + -2 + 7d = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 7d = 0 + -2 7d = 0 + -2 Combine like terms: 0 + -2 = -2 7d = -2 Divide each side by '7'. d = -0.2857142857 Simplifying d = -0.2857142857
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