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Simplifying -4d + -6 + 7 = 5d + 6 Reorder the terms: -6 + 7 + -4d = 5d + 6 Combine like terms: -6 + 7 = 1 1 + -4d = 5d + 6 Reorder the terms: 1 + -4d = 6 + 5d Solving 1 + -4d = 6 + 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. 1 + -4d + -5d = 6 + 5d + -5d Combine like terms: -4d + -5d = -9d 1 + -9d = 6 + 5d + -5d Combine like terms: 5d + -5d = 0 1 + -9d = 6 + 0 1 + -9d = 6 Add '-1' to each side of the equation. 1 + -1 + -9d = 6 + -1 Combine like terms: 1 + -1 = 0 0 + -9d = 6 + -1 -9d = 6 + -1 Combine like terms: 6 + -1 = 5 -9d = 5 Divide each side by '-9'. d = -0.5555555556 Simplifying d = -0.5555555556
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