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Simplifying 5d + 7 + 4d + -2d + -6 = 8 Reorder the terms: 7 + -6 + 5d + 4d + -2d = 8 Combine like terms: 7 + -6 = 1 1 + 5d + 4d + -2d = 8 Combine like terms: 5d + 4d = 9d 1 + 9d + -2d = 8 Combine like terms: 9d + -2d = 7d 1 + 7d = 8 Solving 1 + 7d = 8 Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + 7d = 8 + -1 Combine like terms: 1 + -1 = 0 0 + 7d = 8 + -1 7d = 8 + -1 Combine like terms: 8 + -1 = 7 7d = 7 Divide each side by '7'. d = 1 Simplifying d = 1
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