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Simplifying 5 + 4d = 9d + 6 + -2d Reorder the terms: 5 + 4d = 6 + 9d + -2d Combine like terms: 9d + -2d = 7d 5 + 4d = 6 + 7d Solving 5 + 4d = 6 + 7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-7d' to each side of the equation. 5 + 4d + -7d = 6 + 7d + -7d Combine like terms: 4d + -7d = -3d 5 + -3d = 6 + 7d + -7d Combine like terms: 7d + -7d = 0 5 + -3d = 6 + 0 5 + -3d = 6 Add '-5' to each side of the equation. 5 + -5 + -3d = 6 + -5 Combine like terms: 5 + -5 = 0 0 + -3d = 6 + -5 -3d = 6 + -5 Combine like terms: 6 + -5 = 1 -3d = 1 Divide each side by '-3'. d = -0.3333333333 Simplifying d = -0.3333333333
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